What is the Least Common Multiple of 73854 and 73868?

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 73854 and 73868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73854 and 73868, than apply into the LCM equation.

GCF(73854,73868) = 2
LCM(73854,73868) = ( 73854 × 73868) / 2
LCM(73854,73868) = 5455447272 / 2
LCM(73854,73868) = 2727723636

Least Common Multiple (LCM) of 73854 and 73868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73854 and 73868. First we will calculate the prime factors of 73854 and 73868.

Prime Factorization of 73854

Prime Factorization of 73868

Now multiplying the highest exponent prime factors to calculate the LCM of 73854 and 73868.

LCM(73854,73868) = 2² × 3² × 11¹ × 373¹ × 59¹ × 313¹
LCM(73854,73868) = 2727723636