LCM for 84 and 128

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What's the Least Common Multiple (LCM) of 84 and 128?

Answer

LCM of 84 and 128 is
2,688

First common multiples: 2,688; 5,376; 8,064; …

2,688 is divisible by both: 2,688 ÷ 84 = 32; 2,688 ÷ 128 = 21 — and 32 and 21 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/84 by 32 and of y/128 by 21.

84 = 22 × 3 × 7

128 = 27

Prime84128Highest power
2222727
33—3
77—7

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

LCM = 27 × 3 × 7 = 2,688

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
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
841413,948
841425,964

FAQ

What's the Least Common Multiple (LCM) of 84 and 128?

LCM of 84 and 128 is 2,688

How to find the LCM of 84 and 128 using prime factorization?

To find the LCM of 84 and 128, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,688.

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 128: LCM = 2,688, GCF = 4.

See Also