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What is the Least Common Multiple of 4527 and 4538?

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 4538 is 20543526.

LCM(4527,4538) = 20543526

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Least Common Multiple of 4527 and 4538 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 4538, than apply into the LCM equation.

GCF(4527,4538) = 1
LCM(4527,4538) = ( 4527 × 4538) / 1
LCM(4527,4538) = 20543526 / 1
LCM(4527,4538) = 20543526

Least Common Multiple (LCM) of 4527 and 4538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4527 and 4538. First we will calculate the prime factors of 4527 and 4538.

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 4538

Prime factors of 4538 are 2, 2269. Prime factorization of 4538 in exponential form is:

4538 = 21 × 22691

Now multiplying the highest exponent prime factors to calculate the LCM of 4527 and 4538.

LCM(4527,4538) = 32 × 5031 × 21 × 22691
LCM(4527,4538) = 20543526