What is the Least Common Multiple of 99072 and 99090?

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 99072 and 99090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99072 and 99090, than apply into the LCM equation.

GCF(99072,99090) = 18
LCM(99072,99090) = ( 99072 × 99090) / 18
LCM(99072,99090) = 9817044480 / 18
LCM(99072,99090) = 545391360

Least Common Multiple (LCM) of 99072 and 99090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99072 and 99090. First we will calculate the prime factors of 99072 and 99090.

Prime Factorization of 99072

Prime Factorization of 99090

Now multiplying the highest exponent prime factors to calculate the LCM of 99072 and 99090.

LCM(99072,99090) = 2⁸ × 3³ × 43¹ × 5¹ × 367¹
LCM(99072,99090) = 545391360