What is the Least Common Multiple of 66918 and 66924?

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 66918 and 66924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66918 and 66924, than apply into the LCM equation.

GCF(66918,66924) = 6
LCM(66918,66924) = ( 66918 × 66924) / 6
LCM(66918,66924) = 4478420232 / 6
LCM(66918,66924) = 746403372

Least Common Multiple (LCM) of 66918 and 66924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66918 and 66924. First we will calculate the prime factors of 66918 and 66924.

Prime Factorization of 66918

Prime Factorization of 66924

Now multiplying the highest exponent prime factors to calculate the LCM of 66918 and 66924.

LCM(66918,66924) = 2² × 3² × 19¹ × 587¹ × 11¹ × 13²
LCM(66918,66924) = 746403372