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What is the Least Common Multiple of 4535 and 4540?

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 4535 and 4540 is 4117780.

LCM(4535,4540) = 4117780

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Least Common Multiple of 4535 and 4540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4535 and 4540, than apply into the LCM equation.

GCF(4535,4540) = 5
LCM(4535,4540) = ( 4535 × 4540) / 5
LCM(4535,4540) = 20588900 / 5
LCM(4535,4540) = 4117780

Least Common Multiple (LCM) of 4535 and 4540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4535 and 4540. First we will calculate the prime factors of 4535 and 4540.

Prime Factorization of 4535

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

4535 = 51 × 9071

Prime Factorization of 4540

Prime factors of 4540 are 2, 5, 227. Prime factorization of 4540 in exponential form is:

4540 = 22 × 51 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 4535 and 4540.

LCM(4535,4540) = 51 × 9071 × 22 × 2271
LCM(4535,4540) = 4117780