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What is the Least Common Multiple of 4536 and 4552?

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 4536 and 4552 is 2580984.

LCM(4536,4552) = 2580984

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Least Common Multiple of 4536 and 4552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4536 and 4552, than apply into the LCM equation.

GCF(4536,4552) = 8
LCM(4536,4552) = ( 4536 × 4552) / 8
LCM(4536,4552) = 20647872 / 8
LCM(4536,4552) = 2580984

Least Common Multiple (LCM) of 4536 and 4552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4536 and 4552. First we will calculate the prime factors of 4536 and 4552.

Prime Factorization of 4536

Prime factors of 4536 are 2, 3, 7. Prime factorization of 4536 in exponential form is:

4536 = 23 × 34 × 71

Prime Factorization of 4552

Prime factors of 4552 are 2, 569. Prime factorization of 4552 in exponential form is:

4552 = 23 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 4536 and 4552.

LCM(4536,4552) = 23 × 34 × 71 × 5691
LCM(4536,4552) = 2580984