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What is the Least Common Multiple of 4527 and 4532?

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 4527 and 4532 is 20516364.

LCM(4527,4532) = 20516364

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Least Common Multiple of 4527 and 4532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4527 and 4532, than apply into the LCM equation.

GCF(4527,4532) = 1
LCM(4527,4532) = ( 4527 × 4532) / 1
LCM(4527,4532) = 20516364 / 1
LCM(4527,4532) = 20516364

Least Common Multiple (LCM) of 4527 and 4532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4527 and 4532. First we will calculate the prime factors of 4527 and 4532.

Prime Factorization of 4527

Prime factors of 4527 are 3, 503. Prime factorization of 4527 in exponential form is:

4527 = 32 × 5031

Prime Factorization of 4532

Prime factors of 4532 are 2, 11, 103. Prime factorization of 4532 in exponential form is:

4532 = 22 × 111 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 4527 and 4532.

LCM(4527,4532) = 32 × 5031 × 22 × 111 × 1031
LCM(4527,4532) = 20516364