LCM for 84 and 140

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What's the Least Common Multiple (LCM) of 84 and 140?

Answer

LCM of 84 and 140 is
420

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

420 is divisible by both: 420 ÷ 84 = 5, 420 ÷ 140 = 3 — and 5 and 3 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/140 by 3.

84 = 22 × 3 × 7

140 = 22 × 5 × 7

Prime84140Highest power
2222222
33—3
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
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
8414312,012
841441,008
8414512,180
841466,132
84147588
841483,108
8414912,516
841502,100
8415112,684
841523,192
841534,284
84154924

FAQ

What's the Least Common Multiple (LCM) of 84 and 140?

LCM of 84 and 140 is 420

How to find the LCM of 84 and 140 using prime factorization?

To find the LCM of 84 and 140, 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 140: LCM = 420, GCF = 28.

See Also