What is the Least Common Multiple of 73686 and 73704?

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 73686 and 73704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73686 and 73704, than apply into the LCM equation.

GCF(73686,73704) = 6
LCM(73686,73704) = ( 73686 × 73704) / 6
LCM(73686,73704) = 5430952944 / 6
LCM(73686,73704) = 905158824

Least Common Multiple (LCM) of 73686 and 73704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73686 and 73704. First we will calculate the prime factors of 73686 and 73704.

Prime Factorization of 73686

Prime Factorization of 73704

Now multiplying the highest exponent prime factors to calculate the LCM of 73686 and 73704.

LCM(73686,73704) = 2³ × 3¹ × 12281¹ × 37¹ × 83¹
LCM(73686,73704) = 905158824