What is the Least Common Multiple of 91635 and 91647?

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 91635 and 91647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91635 and 91647, than apply into the LCM equation.

GCF(91635,91647) = 3
LCM(91635,91647) = ( 91635 × 91647) / 3
LCM(91635,91647) = 8398072845 / 3
LCM(91635,91647) = 2799357615

Least Common Multiple (LCM) of 91635 and 91647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91635 and 91647. First we will calculate the prime factors of 91635 and 91647.

Prime Factorization of 91635

Prime Factorization of 91647

Now multiplying the highest exponent prime factors to calculate the LCM of 91635 and 91647.

LCM(91635,91647) = 3² × 5¹ × 41¹ × 149¹ × 17¹ × 599¹
LCM(91635,91647) = 2799357615