What is the Least Common Multiple of 91888 and 91908?

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 91888 and 91908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91888 and 91908, than apply into the LCM equation.

GCF(91888,91908) = 4
LCM(91888,91908) = ( 91888 × 91908) / 4
LCM(91888,91908) = 8445242304 / 4
LCM(91888,91908) = 2111310576

Least Common Multiple (LCM) of 91888 and 91908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91888 and 91908. First we will calculate the prime factors of 91888 and 91908.

Prime Factorization of 91888

Prime Factorization of 91908

Now multiplying the highest exponent prime factors to calculate the LCM of 91888 and 91908.

LCM(91888,91908) = 2⁴ × 5743¹ × 3³ × 23¹ × 37¹
LCM(91888,91908) = 2111310576