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What is the Least Common Multiple of 91401 and 91412?

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 91401 and 91412 is 8355148212.

LCM(91401,91412) = 8355148212

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Least Common Multiple of 91401 and 91412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91401 and 91412, than apply into the LCM equation.

GCF(91401,91412) = 1
LCM(91401,91412) = ( 91401 × 91412) / 1
LCM(91401,91412) = 8355148212 / 1
LCM(91401,91412) = 8355148212

Least Common Multiple (LCM) of 91401 and 91412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91401 and 91412. First we will calculate the prime factors of 91401 and 91412.

Prime Factorization of 91401

Prime factors of 91401 are 3, 30467. Prime factorization of 91401 in exponential form is:

91401 = 31 × 304671

Prime Factorization of 91412

Prime factors of 91412 are 2, 22853. Prime factorization of 91412 in exponential form is:

91412 = 22 × 228531

Now multiplying the highest exponent prime factors to calculate the LCM of 91401 and 91412.

LCM(91401,91412) = 31 × 304671 × 22 × 228531
LCM(91401,91412) = 8355148212