LCM for 7 and 16

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What's the Least Common Multiple (LCM) of 7 and 16?

Answer

LCM of 7 and 16 is
112

First common multiples: 112, 224, 336, …

112 is divisible by both: 112 ÷ 7 = 16, 112 ÷ 16 = 7 — and 16 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/7 by 16 and of y/16 by 7.

7 and 16 are coprime (GCF = 1), so their LCM is simply the product: 7 × 16 = 112.

7 — prime

16 = 24

Prime716Highest power
2—2424
77—7

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 24 × 7 = 112

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LCM Table

Number 1Number 2LCM
7214
7428
7535
7856
7963
71070
71177
71284
71391
71414
715105
716112
717119
718126
719133
720140
72121
722154
724168
725175
726182
727189
72828
730210
731217
734238
73535
739273
741287
743301

FAQ

What's the Least Common Multiple (LCM) of 7 and 16?

LCM of 7 and 16 is 112

How to find the LCM of 7 and 16 using prime factorization?

To find the LCM of 7 and 16, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 112.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 7 and 16: LCM = 112, GCF = 1.

See Also