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What is the Least Common Multiple of 4506 and 4522?

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 4506 and 4522 is 10188066.

LCM(4506,4522) = 10188066

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Least Common Multiple of 4506 and 4522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4506 and 4522, than apply into the LCM equation.

GCF(4506,4522) = 2
LCM(4506,4522) = ( 4506 × 4522) / 2
LCM(4506,4522) = 20376132 / 2
LCM(4506,4522) = 10188066

Least Common Multiple (LCM) of 4506 and 4522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4506 and 4522. First we will calculate the prime factors of 4506 and 4522.

Prime Factorization of 4506

Prime factors of 4506 are 2, 3, 751. Prime factorization of 4506 in exponential form is:

4506 = 21 × 31 × 7511

Prime Factorization of 4522

Prime factors of 4522 are 2, 7, 17, 19. Prime factorization of 4522 in exponential form is:

4522 = 21 × 71 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 4506 and 4522.

LCM(4506,4522) = 21 × 31 × 7511 × 71 × 171 × 191
LCM(4506,4522) = 10188066