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What is the Least Common Multiple of 91608 and 91619?

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 91608 and 91619 is 763003032.

LCM(91608,91619) = 763003032

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Least Common Multiple of 91608 and 91619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91608 and 91619, than apply into the LCM equation.

GCF(91608,91619) = 11
LCM(91608,91619) = ( 91608 × 91619) / 11
LCM(91608,91619) = 8393033352 / 11
LCM(91608,91619) = 763003032

Least Common Multiple (LCM) of 91608 and 91619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91608 and 91619. First we will calculate the prime factors of 91608 and 91619.

Prime Factorization of 91608

Prime factors of 91608 are 2, 3, 11, 347. Prime factorization of 91608 in exponential form is:

91608 = 23 × 31 × 111 × 3471

Prime Factorization of 91619

Prime factors of 91619 are 11, 8329. Prime factorization of 91619 in exponential form is:

91619 = 111 × 83291

Now multiplying the highest exponent prime factors to calculate the LCM of 91608 and 91619.

LCM(91608,91619) = 23 × 31 × 111 × 3471 × 83291
LCM(91608,91619) = 763003032