What is the Least Common Multiple of 91030 and 91045?

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 91030 and 91045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91030 and 91045, than apply into the LCM equation.

GCF(91030,91045) = 5
LCM(91030,91045) = ( 91030 × 91045) / 5
LCM(91030,91045) = 8287826350 / 5
LCM(91030,91045) = 1657565270

Least Common Multiple (LCM) of 91030 and 91045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91030 and 91045. First we will calculate the prime factors of 91030 and 91045.

Prime Factorization of 91030

Prime Factorization of 91045

Now multiplying the highest exponent prime factors to calculate the LCM of 91030 and 91045.

LCM(91030,91045) = 2¹ × 5¹ × 9103¹ × 131¹ × 139¹
LCM(91030,91045) = 1657565270