What is the Least Common Multiple of 99080 and 99096?

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 99080 and 99096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99080 and 99096, than apply into the LCM equation.

GCF(99080,99096) = 8
LCM(99080,99096) = ( 99080 × 99096) / 8
LCM(99080,99096) = 9818431680 / 8
LCM(99080,99096) = 1227303960

Least Common Multiple (LCM) of 99080 and 99096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99080 and 99096. First we will calculate the prime factors of 99080 and 99096.

Prime Factorization of 99080

Prime Factorization of 99096

Now multiplying the highest exponent prime factors to calculate the LCM of 99080 and 99096.

LCM(99080,99096) = 2³ × 5¹ × 2477¹ × 3¹ × 4129¹
LCM(99080,99096) = 1227303960