What is the Least Common Multiple of 99264 and 99270?

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 99264 and 99270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99264 and 99270, than apply into the LCM equation.

GCF(99264,99270) = 6
LCM(99264,99270) = ( 99264 × 99270) / 6
LCM(99264,99270) = 9853937280 / 6
LCM(99264,99270) = 1642322880

Least Common Multiple (LCM) of 99264 and 99270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99264 and 99270. First we will calculate the prime factors of 99264 and 99270.

Prime Factorization of 99264

Prime Factorization of 99270

Now multiplying the highest exponent prime factors to calculate the LCM of 99264 and 99270.

LCM(99264,99270) = 2⁶ × 3² × 11¹ × 47¹ × 5¹ × 1103¹
LCM(99264,99270) = 1642322880