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What is the Least Common Multiple of 49617 and 49635?

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 49617 and 49635 is 273637755.

LCM(49617,49635) = 273637755

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Least Common Multiple of 49617 and 49635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49617 and 49635, than apply into the LCM equation.

GCF(49617,49635) = 9
LCM(49617,49635) = ( 49617 × 49635) / 9
LCM(49617,49635) = 2462739795 / 9
LCM(49617,49635) = 273637755

Least Common Multiple (LCM) of 49617 and 49635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49617 and 49635. First we will calculate the prime factors of 49617 and 49635.

Prime Factorization of 49617

Prime factors of 49617 are 3, 37, 149. Prime factorization of 49617 in exponential form is:

49617 = 32 × 371 × 1491

Prime Factorization of 49635

Prime factors of 49635 are 3, 5, 1103. Prime factorization of 49635 in exponential form is:

49635 = 32 × 51 × 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 49617 and 49635.

LCM(49617,49635) = 32 × 371 × 1491 × 51 × 11031
LCM(49617,49635) = 273637755