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What is the Least Common Multiple of 91076 and 91085?

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 91076 and 91085 is 8295657460.

LCM(91076,91085) = 8295657460

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Least Common Multiple of 91076 and 91085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91076 and 91085, than apply into the LCM equation.

GCF(91076,91085) = 1
LCM(91076,91085) = ( 91076 × 91085) / 1
LCM(91076,91085) = 8295657460 / 1
LCM(91076,91085) = 8295657460

Least Common Multiple (LCM) of 91076 and 91085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91076 and 91085. First we will calculate the prime factors of 91076 and 91085.

Prime Factorization of 91076

Prime factors of 91076 are 2, 22769. Prime factorization of 91076 in exponential form is:

91076 = 22 × 227691

Prime Factorization of 91085

Prime factors of 91085 are 5, 18217. Prime factorization of 91085 in exponential form is:

91085 = 51 × 182171

Now multiplying the highest exponent prime factors to calculate the LCM of 91076 and 91085.

LCM(91076,91085) = 22 × 227691 × 51 × 182171
LCM(91076,91085) = 8295657460