What is the Least Common Multiple of 99948 and 99964?

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 99948 and 99964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99948 and 99964, than apply into the LCM equation.

GCF(99948,99964) = 4
LCM(99948,99964) = ( 99948 × 99964) / 4
LCM(99948,99964) = 9991201872 / 4
LCM(99948,99964) = 2497800468

Least Common Multiple (LCM) of 99948 and 99964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99948 and 99964. First we will calculate the prime factors of 99948 and 99964.

Prime Factorization of 99948

Prime Factorization of 99964

Now multiplying the highest exponent prime factors to calculate the LCM of 99948 and 99964.

LCM(99948,99964) = 2² × 3¹ × 8329¹ × 67¹ × 373¹
LCM(99948,99964) = 2497800468