What is the Least Common Multiple of 73836 and 73854?

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 73836 and 73854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73836 and 73854, than apply into the LCM equation.

GCF(73836,73854) = 18
LCM(73836,73854) = ( 73836 × 73854) / 18
LCM(73836,73854) = 5453083944 / 18
LCM(73836,73854) = 302949108

Least Common Multiple (LCM) of 73836 and 73854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73836 and 73854. First we will calculate the prime factors of 73836 and 73854.

Prime Factorization of 73836

Prime Factorization of 73854

Now multiplying the highest exponent prime factors to calculate the LCM of 73836 and 73854.

LCM(73836,73854) = 2² × 3² × 7¹ × 293¹ × 11¹ × 373¹
LCM(73836,73854) = 302949108