What is the Least Common Multiple of 91100 and 91104?

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 91100 and 91104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91100 and 91104, than apply into the LCM equation.

GCF(91100,91104) = 4
LCM(91100,91104) = ( 91100 × 91104) / 4
LCM(91100,91104) = 8299574400 / 4
LCM(91100,91104) = 2074893600

Least Common Multiple (LCM) of 91100 and 91104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91100 and 91104. First we will calculate the prime factors of 91100 and 91104.

Prime Factorization of 91100

Prime Factorization of 91104

Now multiplying the highest exponent prime factors to calculate the LCM of 91100 and 91104.

LCM(91100,91104) = 2⁵ × 5² × 911¹ × 3¹ × 13¹ × 73¹
LCM(91100,91104) = 2074893600