LCM for 84 and 120

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What's the Least Common Multiple (LCM) of 84 and 120?

Answer

LCM of 84 and 120 is
840

First common multiples: 840; 1,680; 2,520; …

840 is divisible by both: 840 ÷ 84 = 10, 840 ÷ 120 = 7 — and 10 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/84 by 10 and of y/120 by 7.

84 = 22 × 3 × 7

120 = 23 × 3 × 5

Prime84120Highest power
2222323
3333
5—55
77—7

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

LCM = 23 × 3 × 5 × 7 = 840

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
84105420
841064,452
841078,988
84108756
841099,156
841104,620
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

FAQ

What's the Least Common Multiple (LCM) of 84 and 120?

LCM of 84 and 120 is 840

How to find the LCM of 84 and 120 using prime factorization?

To find the LCM of 84 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 840.

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 120: LCM = 840, GCF = 12.

See Also