What is the Least Common Multiple of 73096 and 73112?

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 73096 and 73112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73096 and 73112, than apply into the LCM equation.

GCF(73096,73112) = 8
LCM(73096,73112) = ( 73096 × 73112) / 8
LCM(73096,73112) = 5344194752 / 8
LCM(73096,73112) = 668024344

Least Common Multiple (LCM) of 73096 and 73112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73096 and 73112. First we will calculate the prime factors of 73096 and 73112.

Prime Factorization of 73096

Prime Factorization of 73112

Now multiplying the highest exponent prime factors to calculate the LCM of 73096 and 73112.

LCM(73096,73112) = 2³ × 9137¹ × 13¹ × 19¹ × 37¹
LCM(73096,73112) = 668024344