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What is the Least Common Multiple of 91724 and 91742?

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 91724 and 91742 is 4207471604.

LCM(91724,91742) = 4207471604

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Least Common Multiple of 91724 and 91742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91724 and 91742, than apply into the LCM equation.

GCF(91724,91742) = 2
LCM(91724,91742) = ( 91724 × 91742) / 2
LCM(91724,91742) = 8414943208 / 2
LCM(91724,91742) = 4207471604

Least Common Multiple (LCM) of 91724 and 91742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91724 and 91742. First we will calculate the prime factors of 91724 and 91742.

Prime Factorization of 91724

Prime factors of 91724 are 2, 23, 997. Prime factorization of 91724 in exponential form is:

91724 = 22 × 231 × 9971

Prime Factorization of 91742

Prime factors of 91742 are 2, 7, 6553. Prime factorization of 91742 in exponential form is:

91742 = 21 × 71 × 65531

Now multiplying the highest exponent prime factors to calculate the LCM of 91724 and 91742.

LCM(91724,91742) = 22 × 231 × 9971 × 71 × 65531
LCM(91724,91742) = 4207471604