LCM for 16 and 112

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What's the Least Common Multiple (LCM) of 16 and 112?

Answer

LCM of 16 and 112 is
112

First common multiples: 112, 224, 336, …

As a common denominator: multiply the top and bottom of x/16 by 7.

16 divides 112 (112 ÷ 16 = 7), so the LCM is the larger number itself.

16 = 24

112 = 24 × 7

Prime16112Highest power
2242424
7—77

— = 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

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
1634272
1635560
1636144
1638304
1639624
164080
1642336
1643688
1644176
1645720
1646368
164848
1651816
1655880
1656112
1657912
1658464
1659944
166464
1672144
168080
16811,296
1684336
1690720
169696
16100400
16112112
16120240
161211,936
16128128

FAQ

What's the Least Common Multiple (LCM) of 16 and 112?

LCM of 16 and 112 is 112

How to find the LCM of 16 and 112 using prime factorization?

To find the LCM of 16 and 112, 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 16 and 112: LCM = 112, GCF = 16.

See Also