What is the Least Common Multiple of 91948 and 91964?

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 91948 and 91964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91948 and 91964, than apply into the LCM equation.

GCF(91948,91964) = 4
LCM(91948,91964) = ( 91948 × 91964) / 4
LCM(91948,91964) = 8455905872 / 4
LCM(91948,91964) = 2113976468

Least Common Multiple (LCM) of 91948 and 91964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91948 and 91964. First we will calculate the prime factors of 91948 and 91964.

Prime Factorization of 91948

Prime Factorization of 91964

Now multiplying the highest exponent prime factors to calculate the LCM of 91948 and 91964.

LCM(91948,91964) = 2² × 127¹ × 181¹ × 83¹ × 277¹
LCM(91948,91964) = 2113976468