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What is the Least Common Multiple of 9605 and 9619?

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 9605 and 9619 is 92390495.

LCM(9605,9619) = 92390495

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Least Common Multiple of 9605 and 9619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9605 and 9619, than apply into the LCM equation.

GCF(9605,9619) = 1
LCM(9605,9619) = ( 9605 × 9619) / 1
LCM(9605,9619) = 92390495 / 1
LCM(9605,9619) = 92390495

Least Common Multiple (LCM) of 9605 and 9619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9605 and 9619. First we will calculate the prime factors of 9605 and 9619.

Prime Factorization of 9605

Prime factors of 9605 are 5, 17, 113. Prime factorization of 9605 in exponential form is:

9605 = 51 × 171 × 1131

Prime Factorization of 9619

Prime factors of 9619 are 9619. Prime factorization of 9619 in exponential form is:

9619 = 96191

Now multiplying the highest exponent prime factors to calculate the LCM of 9605 and 9619.

LCM(9605,9619) = 51 × 171 × 1131 × 96191
LCM(9605,9619) = 92390495