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What is the Least Common Multiple of 91051 and 91070?

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 91051 and 91070 is 8292014570.

LCM(91051,91070) = 8292014570

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Least Common Multiple of 91051 and 91070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91051 and 91070, than apply into the LCM equation.

GCF(91051,91070) = 1
LCM(91051,91070) = ( 91051 × 91070) / 1
LCM(91051,91070) = 8292014570 / 1
LCM(91051,91070) = 8292014570

Least Common Multiple (LCM) of 91051 and 91070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91051 and 91070. First we will calculate the prime factors of 91051 and 91070.

Prime Factorization of 91051

Prime factors of 91051 are 83, 1097. Prime factorization of 91051 in exponential form is:

91051 = 831 × 10971

Prime Factorization of 91070

Prime factors of 91070 are 2, 5, 7, 1301. Prime factorization of 91070 in exponential form is:

91070 = 21 × 51 × 71 × 13011

Now multiplying the highest exponent prime factors to calculate the LCM of 91051 and 91070.

LCM(91051,91070) = 831 × 10971 × 21 × 51 × 71 × 13011
LCM(91051,91070) = 8292014570