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What is the Least Common Multiple of 4531 and 4535?

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 4531 and 4535 is 20548085.

LCM(4531,4535) = 20548085

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Least Common Multiple of 4531 and 4535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4531 and 4535, than apply into the LCM equation.

GCF(4531,4535) = 1
LCM(4531,4535) = ( 4531 × 4535) / 1
LCM(4531,4535) = 20548085 / 1
LCM(4531,4535) = 20548085

Least Common Multiple (LCM) of 4531 and 4535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4531 and 4535. First we will calculate the prime factors of 4531 and 4535.

Prime Factorization of 4531

Prime factors of 4531 are 23, 197. Prime factorization of 4531 in exponential form is:

4531 = 231 × 1971

Prime Factorization of 4535

Prime factors of 4535 are 5, 907. Prime factorization of 4535 in exponential form is:

4535 = 51 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 4531 and 4535.

LCM(4531,4535) = 231 × 1971 × 51 × 9071
LCM(4531,4535) = 20548085