What is the Least Common Multiple of 91008 and 91024?

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 91008 and 91024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91008 and 91024, than apply into the LCM equation.

GCF(91008,91024) = 16
LCM(91008,91024) = ( 91008 × 91024) / 16
LCM(91008,91024) = 8283912192 / 16
LCM(91008,91024) = 517744512

Least Common Multiple (LCM) of 91008 and 91024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91008 and 91024. First we will calculate the prime factors of 91008 and 91024.

Prime Factorization of 91008

Prime Factorization of 91024

Now multiplying the highest exponent prime factors to calculate the LCM of 91008 and 91024.

LCM(91008,91024) = 2⁷ × 3² × 79¹ × 5689¹
LCM(91008,91024) = 517744512