LCM for 112 and 144

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 112 and 144?

Answer

LCM of 112 and 144 is
1,008

First common multiples: 1,008; 2,016; 3,024; …

1,008 is divisible by both: 1,008 ÷ 112 = 9; 1,008 ÷ 144 = 7 — and 9 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 9 and of y/144 by 7.

112 = 24 × 7

144 = 24 × 32

Prime112144Highest power
2242424
3—3232
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 × 32 × 7 = 1,008

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
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
11214316,016
1121441,008
11214516,240
1121468,176
1121472,352
1121484,144
11214916,688
1121508,400
11215116,912
1121522,128
11215317,136
1121541,232
11215517,360
1121564,368
11215717,584
1121588,848

FAQ

What's the Least Common Multiple (LCM) of 112 and 144?

LCM of 112 and 144 is 1,008

How to find the LCM of 112 and 144 using prime factorization?

To find the LCM of 112 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,008.

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 144: LCM = 1,008, GCF = 16.

See Also