LCM for 84 and 420

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What's the Least Common Multiple (LCM) of 84 and 420?

Answer

LCM of 84 and 420 is
420

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

As a common denominator: multiply the top and bottom of x/84 by 5.

84 divides 420 (420 ÷ 84 = 5), so the LCM is the larger number itself.

84 = 22 × 3 × 7

420 = 22 × 3 × 5 × 7

Prime84420Highest power
2222222
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
8440511,340
844062,436
8440734,188
844082,856
8440934,356
8441017,220
8441111,508
844128,652
844134,956
844145,796
8441534,860
844168,736
8441711,676
8441817,556
8441935,196
84420420
8442135,364
8442217,724
8442311,844
844248,904
8442535,700
844265,964
844275,124
844288,988
8442912,012
8443018,060
8443136,204
844323,024
8443336,372
844342,604

FAQ

What's the Least Common Multiple (LCM) of 84 and 420?

LCM of 84 and 420 is 420

How to find the LCM of 84 and 420 using prime factorization?

To find the LCM of 84 and 420, 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 420: LCM = 420, GCF = 84.

See Also