LCM for 112 and 168

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What's the Least Common Multiple (LCM) of 112 and 168?

Answer

LCM of 112 and 168 is
336

First common multiples: 336; 672; 1,008; …

336 is divisible by both: 336 ÷ 112 = 3, 336 ÷ 168 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/112 by 3 and of y/168 by 2.

112 = 24 × 7

168 = 23 × 3 × 7

Prime112168Highest power
2242324
3—33
7777

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

LCM = 24 × 3 × 7 = 336

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
11215317,136
1121541,232
11215517,360
1121564,368
11215717,584
1121588,848
11215917,808
1121601,120
1121612,576
1121629,072
11216318,256
1121644,592
11216518,480
1121669,296
11216718,704
112168336
11216918,928
1121709,520
11217119,152
1121724,816
11217319,376
1121749,744
1121752,800
1121761,232
11217719,824
1121789,968
11217920,048
1121805,040
11218120,272
1121821,456

FAQ

What's the Least Common Multiple (LCM) of 112 and 168?

LCM of 112 and 168 is 336

How to find the LCM of 112 and 168 using prime factorization?

To find the LCM of 112 and 168, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 336.

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 168: LCM = 336, GCF = 56.

See Also