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What is the Least Common Multiple of 4616 and 4632?

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 4616 and 4632 is 2672664.

LCM(4616,4632) = 2672664

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Least Common Multiple of 4616 and 4632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4616 and 4632, than apply into the LCM equation.

GCF(4616,4632) = 8
LCM(4616,4632) = ( 4616 × 4632) / 8
LCM(4616,4632) = 21381312 / 8
LCM(4616,4632) = 2672664

Least Common Multiple (LCM) of 4616 and 4632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4616 and 4632. First we will calculate the prime factors of 4616 and 4632.

Prime Factorization of 4616

Prime factors of 4616 are 2, 577. Prime factorization of 4616 in exponential form is:

4616 = 23 × 5771

Prime Factorization of 4632

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

4632 = 23 × 31 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 4616 and 4632.

LCM(4616,4632) = 23 × 5771 × 31 × 1931
LCM(4616,4632) = 2672664