What is the Least Common Multiple of 91104 and 91119?

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 of 91104 and 91119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91104 and 91119, than apply into the LCM equation.

GCF(91104,91119) = 3
LCM(91104,91119) = ( 91104 × 91119) / 3
LCM(91104,91119) = 8301305376 / 3
LCM(91104,91119) = 2767101792

Least Common Multiple (LCM) of 91104 and 91119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91104 and 91119. First we will calculate the prime factors of 91104 and 91119.

Prime Factorization of 91104

Prime Factorization of 91119

Now multiplying the highest exponent prime factors to calculate the LCM of 91104 and 91119.

LCM(91104,91119) = 2⁵ × 3¹ × 13¹ × 73¹ × 7¹ × 4339¹
LCM(91104,91119) = 2767101792