LCM for 126 and 168

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What's the Least Common Multiple (LCM) of 126 and 168?

Answer

LCM of 126 and 168 is
504

(Five hundred four)

Finding LCM for 126 and 168 using GCF of these numbers

The first method to find LCM for numbers 126 and 168 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 126 and 168 is 42, so

LCM = (126 × 168) ÷ 42

LCM = 21,168 ÷ 42

LCM = 504

Finding LCM for 126 and 168 by Listing Multiples

The second method to find LCM for numbers 126 and 168 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 126: 126, 252, 378, 504, 630, 756

Multiples of 168: 168, 336, 504, 672, 840

So the LCM for 126 and 168 is 504

Finding LCM for 126 and 168 by Prime Factorization

Another method to find LCM for numbers 126 and 168 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 126: 2, 3, 3, 7 (exponent form: 21, 32, 71)

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

23 × 32 × 71 = 504

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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 126 and 168? (The answer is: 504). Select the first number (e.g. '126') 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
1261532,142
1261541,386
12615519,530
1261563,276
12615719,782
1261589,954
1261596,678
12616010,080
1261612,898
1261621,134
12616320,538
12616410,332
1261656,930
12616610,458
12616721,042
126168504
12616921,294
12617010,710
1261712,394
12617210,836
12617321,798
1261743,654
1261753,150
12617611,088
1261777,434
12617811,214
12617922,554
1261801,260
12618122,806
1261821,638

FAQ

What's the Least Common Multiple (LCM) of 126 and 168?

LCM of 126 and 168 is 504

How to find the LCM of 126 and 168 using prime factorization?

To find the LCM of 126 and 168, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 504.

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 126 and 168: LCM = 504, GCF = 42.

See Also