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

(Three hundred thirty-six)

Finding LCM for 112 and 168 using GCF of these numbers

The first method to find LCM for numbers 112 and 168 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 112 and 168 is 56, so

LCM = (112 × 168) ÷ 56

LCM = 18,816 ÷ 56

LCM = 336

Finding LCM for 112 and 168 by Listing Multiples

The second method to find LCM for numbers 112 and 168 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 112: 112, 224, 336, 448, 560

Multiples of 168: 168, 336, 504, 672

So the LCM for 112 and 168 is 336

Finding LCM for 112 and 168 by Prime Factorization

Another method to find LCM for numbers 112 and 168 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 112: 2, 2, 2, 2, 7 (exponent form: 24, 71)

All Prime Factors of 168: 2, 2, 2, 3, 7 (exponent form: 23, 31, 71)

24 × 71 × 31 = 336

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 112 and 168? (The answer is: 336). Select the first number (e.g. '112') and the second number (e.g. '168'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
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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