What is the Least Common Multiple of 73604 and 73614?

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 73604 and 73614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73604 and 73614, than apply into the LCM equation.

GCF(73604,73614) = 2
LCM(73604,73614) = ( 73604 × 73614) / 2
LCM(73604,73614) = 5418284856 / 2
LCM(73604,73614) = 2709142428

Least Common Multiple (LCM) of 73604 and 73614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73604 and 73614. First we will calculate the prime factors of 73604 and 73614.

Prime Factorization of 73604

Prime Factorization of 73614

Now multiplying the highest exponent prime factors to calculate the LCM of 73604 and 73614.

LCM(73604,73614) = 2² × 18401¹ × 3¹ × 12269¹
LCM(73604,73614) = 2709142428