What is the Least Common Multiple of 91908 and 91917?

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 91908 and 91917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91908 and 91917, than apply into the LCM equation.

GCF(91908,91917) = 9
LCM(91908,91917) = ( 91908 × 91917) / 9
LCM(91908,91917) = 8447907636 / 9
LCM(91908,91917) = 938656404

Least Common Multiple (LCM) of 91908 and 91917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91908 and 91917. First we will calculate the prime factors of 91908 and 91917.

Prime Factorization of 91908

Prime Factorization of 91917

Now multiplying the highest exponent prime factors to calculate the LCM of 91908 and 91917.

LCM(91908,91917) = 2² × 3³ × 23¹ × 37¹ × 7¹ × 1459¹
LCM(91908,91917) = 938656404