What is the Least Common Multiple of 73080 and 73096?

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 73080 and 73096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73080 and 73096, than apply into the LCM equation.

GCF(73080,73096) = 8
LCM(73080,73096) = ( 73080 × 73096) / 8
LCM(73080,73096) = 5341855680 / 8
LCM(73080,73096) = 667731960

Least Common Multiple (LCM) of 73080 and 73096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73080 and 73096. First we will calculate the prime factors of 73080 and 73096.

Prime Factorization of 73080

Prime Factorization of 73096

Now multiplying the highest exponent prime factors to calculate the LCM of 73080 and 73096.

LCM(73080,73096) = 2³ × 3² × 5¹ × 7¹ × 29¹ × 9137¹
LCM(73080,73096) = 667731960