GCF and LCM Calculator Logo

What is the Least Common Multiple of 91601 and 91617?

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 91601 and 91617 is 8392208817.

LCM(91601,91617) = 8392208817

LCM Calculator and
and

Least Common Multiple of 91601 and 91617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91601 and 91617, than apply into the LCM equation.

GCF(91601,91617) = 1
LCM(91601,91617) = ( 91601 × 91617) / 1
LCM(91601,91617) = 8392208817 / 1
LCM(91601,91617) = 8392208817

Least Common Multiple (LCM) of 91601 and 91617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91601 and 91617. First we will calculate the prime factors of 91601 and 91617.

Prime Factorization of 91601

Prime factors of 91601 are 139, 659. Prime factorization of 91601 in exponential form is:

91601 = 1391 × 6591

Prime Factorization of 91617

Prime factors of 91617 are 3, 30539. Prime factorization of 91617 in exponential form is:

91617 = 31 × 305391

Now multiplying the highest exponent prime factors to calculate the LCM of 91601 and 91617.

LCM(91601,91617) = 1391 × 6591 × 31 × 305391
LCM(91601,91617) = 8392208817