What is the Least Common Multiple of 91008 and 91017?

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 91017 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 91017, than apply into the LCM equation.

GCF(91008,91017) = 9
LCM(91008,91017) = ( 91008 × 91017) / 9
LCM(91008,91017) = 8283275136 / 9
LCM(91008,91017) = 920363904

Least Common Multiple (LCM) of 91008 and 91017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91008 and 91017. First we will calculate the prime factors of 91008 and 91017.

Prime Factorization of 91008

Prime Factorization of 91017

Now multiplying the highest exponent prime factors to calculate the LCM of 91008 and 91017.

LCM(91008,91017) = 2⁷ × 3³ × 79¹ × 3371¹
LCM(91008,91017) = 920363904