What is the Least Common Multiple of 66837 and 66852?

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 66837 and 66852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66837 and 66852, than apply into the LCM equation.

GCF(66837,66852) = 3
LCM(66837,66852) = ( 66837 × 66852) / 3
LCM(66837,66852) = 4468187124 / 3
LCM(66837,66852) = 1489395708

Least Common Multiple (LCM) of 66837 and 66852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66837 and 66852. First we will calculate the prime factors of 66837 and 66852.

Prime Factorization of 66837

Prime Factorization of 66852

Now multiplying the highest exponent prime factors to calculate the LCM of 66837 and 66852.

LCM(66837,66852) = 3³ × 22279¹ × 2² × 619¹
LCM(66837,66852) = 1489395708