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What is the Least Common Multiple of 91610 and 91630?

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 91610 and 91630 is 839422430.

LCM(91610,91630) = 839422430

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Least Common Multiple of 91610 and 91630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91610 and 91630, than apply into the LCM equation.

GCF(91610,91630) = 10
LCM(91610,91630) = ( 91610 × 91630) / 10
LCM(91610,91630) = 8394224300 / 10
LCM(91610,91630) = 839422430

Least Common Multiple (LCM) of 91610 and 91630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91610 and 91630. First we will calculate the prime factors of 91610 and 91630.

Prime Factorization of 91610

Prime factors of 91610 are 2, 5, 9161. Prime factorization of 91610 in exponential form is:

91610 = 21 × 51 × 91611

Prime Factorization of 91630

Prime factors of 91630 are 2, 5, 7, 11, 17. Prime factorization of 91630 in exponential form is:

91630 = 21 × 51 × 72 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 91610 and 91630.

LCM(91610,91630) = 21 × 51 × 91611 × 72 × 111 × 171
LCM(91610,91630) = 839422430