What is the Least Common Multiple of 39300 and 39306?

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 39300 and 39306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39300 and 39306, than apply into the LCM equation.

GCF(39300,39306) = 6
LCM(39300,39306) = ( 39300 × 39306) / 6
LCM(39300,39306) = 1544725800 / 6
LCM(39300,39306) = 257454300

Least Common Multiple (LCM) of 39300 and 39306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39300 and 39306. First we will calculate the prime factors of 39300 and 39306.

Prime Factorization of 39300

Prime Factorization of 39306

Now multiplying the highest exponent prime factors to calculate the LCM of 39300 and 39306.

LCM(39300,39306) = 2² × 3¹ × 5² × 131¹ × 6551¹
LCM(39300,39306) = 257454300