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What is the Least Common Multiple of 91704 and 91721?

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 91704 and 91721 is 8411182584.

LCM(91704,91721) = 8411182584

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Least Common Multiple of 91704 and 91721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91704 and 91721, than apply into the LCM equation.

GCF(91704,91721) = 1
LCM(91704,91721) = ( 91704 × 91721) / 1
LCM(91704,91721) = 8411182584 / 1
LCM(91704,91721) = 8411182584

Least Common Multiple (LCM) of 91704 and 91721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91704 and 91721. First we will calculate the prime factors of 91704 and 91721.

Prime Factorization of 91704

Prime factors of 91704 are 2, 3, 3821. Prime factorization of 91704 in exponential form is:

91704 = 23 × 31 × 38211

Prime Factorization of 91721

Prime factors of 91721 are 7, 13103. Prime factorization of 91721 in exponential form is:

91721 = 71 × 131031

Now multiplying the highest exponent prime factors to calculate the LCM of 91704 and 91721.

LCM(91704,91721) = 23 × 31 × 38211 × 71 × 131031
LCM(91704,91721) = 8411182584