What is the Least Common Multiple (LCM) of 21 and 48? Here we will show you step-by-step how to find the Least Common Multiple of 21 and 48.
Step 1) First we find and list the prime factors of 21 and 48 (Prime Factorization):
Prime Factors of 21:
3, 7
Prime Factors of 48:
2, 2, 2, 2, 3
Step 2) Then we look at the frequency of the prime factors as they appear in each set above. List each prime factor the greatest number of times it occurs in either sets:
2, 2, 2, 2, 3, 7
Step 3) Finally, we multiply the prime numbers from Step 2 together.
2 x 2 x 2 x 2 x 3 x 7 = 336
That's it. The Least Common Multiple (LCM) of 21 and 48 is 336.
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Answer:
What is the Least Common Multiple (LCM) of 21 and 48? Here we will show you step-by-step how to find the Least Common Multiple of 21 and 48.
Step 1) First we find and list the prime factors of 21 and 48 (Prime Factorization):
Prime Factors of 21:
3, 7
Prime Factors of 48:
2, 2, 2, 2, 3
Step 2) Then we look at the frequency of the prime factors as they appear in each set above. List each prime factor the greatest number of times it occurs in either sets:
2, 2, 2, 2, 3, 7
Step 3) Finally, we multiply the prime numbers from Step 2 together.
2 x 2 x 2 x 2 x 3 x 7 = 336
That's it. The Least Common Multiple (LCM) of 21 and 48 is 336.
Step-by-step explanation:
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