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What is the Least Common Multiple of 91348 and 91359?

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 91348 and 91359 is 8345461932.

LCM(91348,91359) = 8345461932

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Least Common Multiple of 91348 and 91359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91348 and 91359, than apply into the LCM equation.

GCF(91348,91359) = 1
LCM(91348,91359) = ( 91348 × 91359) / 1
LCM(91348,91359) = 8345461932 / 1
LCM(91348,91359) = 8345461932

Least Common Multiple (LCM) of 91348 and 91359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91348 and 91359. First we will calculate the prime factors of 91348 and 91359.

Prime Factorization of 91348

Prime factors of 91348 are 2, 41, 557. Prime factorization of 91348 in exponential form is:

91348 = 22 × 411 × 5571

Prime Factorization of 91359

Prime factors of 91359 are 3, 10151. Prime factorization of 91359 in exponential form is:

91359 = 32 × 101511

Now multiplying the highest exponent prime factors to calculate the LCM of 91348 and 91359.

LCM(91348,91359) = 22 × 411 × 5571 × 32 × 101511
LCM(91348,91359) = 8345461932