What is the Least Common Multiple of 91630 and 91635?

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 91630 and 91635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91630 and 91635, than apply into the LCM equation.

GCF(91630,91635) = 5
LCM(91630,91635) = ( 91630 × 91635) / 5
LCM(91630,91635) = 8396515050 / 5
LCM(91630,91635) = 1679303010

Least Common Multiple (LCM) of 91630 and 91635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91630 and 91635. First we will calculate the prime factors of 91630 and 91635.

Prime Factorization of 91630

Prime Factorization of 91635

Now multiplying the highest exponent prime factors to calculate the LCM of 91630 and 91635.

LCM(91630,91635) = 2¹ × 5¹ × 7² × 11¹ × 17¹ × 3¹ × 41¹ × 149¹
LCM(91630,91635) = 1679303010