LCM for 112 and 128

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What's the Least Common Multiple (LCM) of 112 and 128?

Answer

LCM of 112 and 128 is
896

First common multiples: 896; 1,792; 2,688; …

896 is divisible by both: 896 ÷ 112 = 8, 896 ÷ 128 = 7 — and 8 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/112 by 8 and of y/128 by 7.

112 = 24 × 7

128 = 27

Prime112128Highest power
2242727
77—7

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

LCM = 27 × 7 = 896

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
11211312,656
1121146,384
11211512,880
1121163,248
11211713,104
1121186,608
1121191,904
1121201,680
11212113,552
1121226,832
11212313,776
1121243,472
11212514,000
1121261,008
11212714,224
112128896
11212914,448
1121307,280
11213114,672
1121323,696
1121332,128
1121347,504
11213515,120
1121361,904
11213715,344
1121387,728
11213915,568
112140560
11214115,792
1121427,952

FAQ

What's the Least Common Multiple (LCM) of 112 and 128?

LCM of 112 and 128 is 896

How to find the LCM of 112 and 128 using prime factorization?

To find the LCM of 112 and 128, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 896.

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 112 and 128: LCM = 896, GCF = 16.

See Also