What is the Least Common Multiple of 99054 and 99072?

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 99054 and 99072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99054 and 99072, than apply into the LCM equation.

GCF(99054,99072) = 18
LCM(99054,99072) = ( 99054 × 99072) / 18
LCM(99054,99072) = 9813477888 / 18
LCM(99054,99072) = 545193216

Least Common Multiple (LCM) of 99054 and 99072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99054 and 99072. First we will calculate the prime factors of 99054 and 99072.

Prime Factorization of 99054

Prime Factorization of 99072

Now multiplying the highest exponent prime factors to calculate the LCM of 99054 and 99072.

LCM(99054,99072) = 2⁸ × 3² × 5503¹ × 43¹
LCM(99054,99072) = 545193216