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

First common multiples: 504; 1,008; 1,512; …

504 is divisible by both: 504 ÷ 126 = 4, 504 ÷ 168 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/126 by 4 and of y/168 by 3.

126 = 2 × 32 × 7

168 = 23 × 3 × 7

Prime126168Highest power
222323
332332
7777

LCM = 23 × 32 × 7 = 504

More with these numbers

See Also

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