GCF and LCM Calculator Logo

What is the Least Common Multiple of 91340 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 91340 and 91359 is 8344731060.

LCM(91340,91359) = 8344731060

LCM Calculator and
and

Least Common Multiple of 91340 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 91340 and 91359, than apply into the LCM equation.

GCF(91340,91359) = 1
LCM(91340,91359) = ( 91340 × 91359) / 1
LCM(91340,91359) = 8344731060 / 1
LCM(91340,91359) = 8344731060

Least Common Multiple (LCM) of 91340 and 91359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91340 and 91359. First we will calculate the prime factors of 91340 and 91359.

Prime Factorization of 91340

Prime factors of 91340 are 2, 5, 4567. Prime factorization of 91340 in exponential form is:

91340 = 22 × 51 × 45671

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 91340 and 91359.

LCM(91340,91359) = 22 × 51 × 45671 × 32 × 101511
LCM(91340,91359) = 8344731060