What is the Least Common Multiple of 91506 and 91512?

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 91506 and 91512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91506 and 91512, than apply into the LCM equation.

GCF(91506,91512) = 6
LCM(91506,91512) = ( 91506 × 91512) / 6
LCM(91506,91512) = 8373897072 / 6
LCM(91506,91512) = 1395649512

Least Common Multiple (LCM) of 91506 and 91512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91506 and 91512. First we will calculate the prime factors of 91506 and 91512.

Prime Factorization of 91506

Prime Factorization of 91512

Now multiplying the highest exponent prime factors to calculate the LCM of 91506 and 91512.

LCM(91506,91512) = 2³ × 3² × 101¹ × 151¹ × 31¹ × 41¹
LCM(91506,91512) = 1395649512