What is the Least Common Multiple of 91032 and 91040?

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 91032 and 91040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91032 and 91040, than apply into the LCM equation.

GCF(91032,91040) = 8
LCM(91032,91040) = ( 91032 × 91040) / 8
LCM(91032,91040) = 8287553280 / 8
LCM(91032,91040) = 1035944160

Least Common Multiple (LCM) of 91032 and 91040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91032 and 91040. First we will calculate the prime factors of 91032 and 91040.

Prime Factorization of 91032

Prime Factorization of 91040

Now multiplying the highest exponent prime factors to calculate the LCM of 91032 and 91040.

LCM(91032,91040) = 2⁵ × 3¹ × 3793¹ × 5¹ × 569¹
LCM(91032,91040) = 1035944160