LCM for 84 and 105

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What's the Least Common Multiple (LCM) of 84 and 105?

Answer

LCM of 84 and 105 is
420

First common multiples: 420; 840; 1,260; …

420 is divisible by both: 420 ÷ 84 = 5, 420 ÷ 105 = 4 — and 5 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/84 by 5 and of y/105 by 4.

84 = 22 × 3 × 7

105 = 3 × 5 × 7

Prime84105Highest power
222—22
3333
5—55
7777

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

LCM = 22 × 3 × 5 × 7 = 420

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
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
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

FAQ

What's the Least Common Multiple (LCM) of 84 and 105?

LCM of 84 and 105 is 420

How to find the LCM of 84 and 105 using prime factorization?

To find the LCM of 84 and 105, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 420.

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 105: LCM = 420, GCF = 21.

See Also