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What is the Least Common Multiple of 91068 and 91079?

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 91068 and 91079 is 8294382372.

LCM(91068,91079) = 8294382372

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Least Common Multiple of 91068 and 91079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91068 and 91079, than apply into the LCM equation.

GCF(91068,91079) = 1
LCM(91068,91079) = ( 91068 × 91079) / 1
LCM(91068,91079) = 8294382372 / 1
LCM(91068,91079) = 8294382372

Least Common Multiple (LCM) of 91068 and 91079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91068 and 91079. First we will calculate the prime factors of 91068 and 91079.

Prime Factorization of 91068

Prime factors of 91068 are 2, 3, 7589. Prime factorization of 91068 in exponential form is:

91068 = 22 × 31 × 75891

Prime Factorization of 91079

Prime factors of 91079 are 91079. Prime factorization of 91079 in exponential form is:

91079 = 910791

Now multiplying the highest exponent prime factors to calculate the LCM of 91068 and 91079.

LCM(91068,91079) = 22 × 31 × 75891 × 910791
LCM(91068,91079) = 8294382372