What is the Least Common Multiple of 64854 and 64872?

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 64854 and 64872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64854 and 64872, than apply into the LCM equation.

GCF(64854,64872) = 18
LCM(64854,64872) = ( 64854 × 64872) / 18
LCM(64854,64872) = 4207208688 / 18
LCM(64854,64872) = 233733816

Least Common Multiple (LCM) of 64854 and 64872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64854 and 64872. First we will calculate the prime factors of 64854 and 64872.

Prime Factorization of 64854

Prime Factorization of 64872

Now multiplying the highest exponent prime factors to calculate the LCM of 64854 and 64872.

LCM(64854,64872) = 2³ × 3³ × 1201¹ × 17¹ × 53¹
LCM(64854,64872) = 233733816