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What is the Least Common Multiple of 4632 and 4639?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 4632 and 4639 is 21487848.

LCM(4632,4639) = 21487848

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Least Common Multiple of 4632 and 4639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4632 and 4639, than apply into the LCM equation.

GCF(4632,4639) = 1
LCM(4632,4639) = ( 4632 × 4639) / 1
LCM(4632,4639) = 21487848 / 1
LCM(4632,4639) = 21487848

Least Common Multiple (LCM) of 4632 and 4639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4632 and 4639. First we will calculate the prime factors of 4632 and 4639.

Prime Factorization of 4632

Prime factors of 4632 are 2, 3, 193. Prime factorization of 4632 in exponential form is:

4632 = 23 × 31 × 1931

Prime Factorization of 4639

Prime factors of 4639 are 4639. Prime factorization of 4639 in exponential form is:

4639 = 46391

Now multiplying the highest exponent prime factors to calculate the LCM of 4632 and 4639.

LCM(4632,4639) = 23 × 31 × 1931 × 46391
LCM(4632,4639) = 21487848