What is the Least Common Multiple of 91104 and 91117?

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 91117 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 91117, than apply into the LCM equation.

GCF(91104,91117) = 13
LCM(91104,91117) = ( 91104 × 91117) / 13
LCM(91104,91117) = 8301123168 / 13
LCM(91104,91117) = 638547936

Least Common Multiple (LCM) of 91104 and 91117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91104 and 91117. First we will calculate the prime factors of 91104 and 91117.

Prime Factorization of 91104

Prime Factorization of 91117

Now multiplying the highest exponent prime factors to calculate the LCM of 91104 and 91117.

LCM(91104,91117) = 2⁵ × 3¹ × 13¹ × 73¹ × 43¹ × 163¹
LCM(91104,91117) = 638547936