LCM for 63 and 84

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What's the Least Common Multiple (LCM) of 63 and 84?

Answer

LCM of 63 and 84 is
252

First common multiples: 252, 504, 756, …

252 is divisible by both: 252 ÷ 63 = 4, 252 ÷ 84 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/63 by 4 and of y/84 by 3.

63 = 32 × 7

84 = 22 × 3 × 7

Prime6384Highest power
2—2222
332332
7777

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

LCM = 22 × 32 × 7 = 252

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See Also

LCM Table

Number 1Number 2LCM
63691,449
6370630
63714,473
6372504
63734,599
63744,662
63751,575
63764,788
6377693
63781,638
63794,977
63805,040
6381567
63825,166
63835,229
6384252
63855,355
63865,418
63871,827
63885,544
63895,607
6390630
6391819
63925,796
63931,953
63945,922
63955,985
63962,016
63976,111
6398882

FAQ

What's the Least Common Multiple (LCM) of 63 and 84?

LCM of 63 and 84 is 252

How to find the LCM of 63 and 84 using prime factorization?

To find the LCM of 63 and 84, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 252.

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 63 and 84: LCM = 252, GCF = 21.