GCF and LCM Calculator Logo

What is the Least Common Multiple of 91358 and 91369?

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 91358 and 91369 is 8347289102.

LCM(91358,91369) = 8347289102

LCM Calculator and
and

Least Common Multiple of 91358 and 91369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91358 and 91369, than apply into the LCM equation.

GCF(91358,91369) = 1
LCM(91358,91369) = ( 91358 × 91369) / 1
LCM(91358,91369) = 8347289102 / 1
LCM(91358,91369) = 8347289102

Least Common Multiple (LCM) of 91358 and 91369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91358 and 91369. First we will calculate the prime factors of 91358 and 91369.

Prime Factorization of 91358

Prime factors of 91358 are 2, 17, 2687. Prime factorization of 91358 in exponential form is:

91358 = 21 × 171 × 26871

Prime Factorization of 91369

Prime factors of 91369 are 91369. Prime factorization of 91369 in exponential form is:

91369 = 913691

Now multiplying the highest exponent prime factors to calculate the LCM of 91358 and 91369.

LCM(91358,91369) = 21 × 171 × 26871 × 913691
LCM(91358,91369) = 8347289102