LCM for 84 and 90

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What's the Least Common Multiple (LCM) of 84 and 90?

Answer

LCM of 84 and 90 is
1,260

First common multiples: 1,260; 2,520; 3,780; …

1,260 is divisible by both: 1,260 ÷ 84 = 15; 1,260 ÷ 90 = 14 — and 15 and 14 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/84 by 15 and of y/90 by 14.

84 = 22 × 3 × 7

90 = 2 × 32 × 5

Prime8490Highest power
222222
333232
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 = 22 × 32 × 5 × 7 = 1,260

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LCM Table

Number 1Number 2LCM
84752,100
84761,596
8477924
84781,092
84796,636
84801,680
84812,268
84823,444
84836,972
848484
84857,140
84863,612
84872,436
84881,848
84897,476
84901,260
84911,092
84921,932
84932,604
84943,948
84957,980
8496672
84978,148
8498588
84992,772
841002,100
841018,484
841021,428
841038,652
841042,184

FAQ

What's the Least Common Multiple (LCM) of 84 and 90?

LCM of 84 and 90 is 1,260

How to find the LCM of 84 and 90 using prime factorization?

To find the LCM of 84 and 90, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,260.

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 90: LCM = 1,260, GCF = 6.

See Also