LCM for 84 and 126

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What's the Least Common Multiple (LCM) of 84 and 126?

Answer

LCM of 84 and 126 is
252

First common multiples: 252, 504, 756, …

252 is divisible by both: 252 ÷ 84 = 3, 252 ÷ 126 = 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/84 by 3 and of y/126 by 2.

84 = 22 × 3 × 7

126 = 2 × 32 × 7

Prime84126Highest power
222222
333232
7777

LCM = 22 × 32 × 7 = 252

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
841113,108
84112336
841139,492
841141,596
841159,660
841162,436
841173,276
841184,956
841191,428
84120840
8412110,164
841225,124
841233,444
841242,604
8412510,500
84126252
8412710,668
841282,688
841293,612
841305,460
8413111,004
84132924
841331,596
841345,628
841353,780
841362,856
8413711,508
841381,932
8413911,676
84140420

FAQ

What's the Least Common Multiple (LCM) of 84 and 126?

LCM of 84 and 126 is 252

How to find the LCM of 84 and 126 using prime factorization?

To find the LCM of 84 and 126, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 252.

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 84 and 126: LCM = 252, GCF = 42.

See Also