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What is the Least Common Multiple of 73617 and 73635?

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 73617 and 73635 is 1806929265.

LCM(73617,73635) = 1806929265

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Least Common Multiple of 73617 and 73635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73617 and 73635, than apply into the LCM equation.

GCF(73617,73635) = 3
LCM(73617,73635) = ( 73617 × 73635) / 3
LCM(73617,73635) = 5420787795 / 3
LCM(73617,73635) = 1806929265

Least Common Multiple (LCM) of 73617 and 73635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73617 and 73635. First we will calculate the prime factors of 73617 and 73635.

Prime Factorization of 73617

Prime factors of 73617 are 3, 53, 463. Prime factorization of 73617 in exponential form is:

73617 = 31 × 531 × 4631

Prime Factorization of 73635

Prime factors of 73635 are 3, 5, 4909. Prime factorization of 73635 in exponential form is:

73635 = 31 × 51 × 49091

Now multiplying the highest exponent prime factors to calculate the LCM of 73617 and 73635.

LCM(73617,73635) = 31 × 531 × 4631 × 51 × 49091
LCM(73617,73635) = 1806929265