What is the Least Common Multiple of 99060 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 99060 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 99060 and 99072, than apply into the LCM equation.

GCF(99060,99072) = 12
LCM(99060,99072) = ( 99060 × 99072) / 12
LCM(99060,99072) = 9814072320 / 12
LCM(99060,99072) = 817839360

Least Common Multiple (LCM) of 99060 and 99072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99060 and 99072. First we will calculate the prime factors of 99060 and 99072.

Prime Factorization of 99060

Prime Factorization of 99072

Now multiplying the highest exponent prime factors to calculate the LCM of 99060 and 99072.

LCM(99060,99072) = 2⁸ × 3² × 5¹ × 13¹ × 127¹ × 43¹
LCM(99060,99072) = 817839360