What is the Least Common Multiple of 39261 and 39267?

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 39261 and 39267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39261 and 39267, than apply into the LCM equation.

GCF(39261,39267) = 3
LCM(39261,39267) = ( 39261 × 39267) / 3
LCM(39261,39267) = 1541661687 / 3
LCM(39261,39267) = 513887229

Least Common Multiple (LCM) of 39261 and 39267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39261 and 39267. First we will calculate the prime factors of 39261 and 39267.

Prime Factorization of 39261

Prime Factorization of 39267

Now multiplying the highest exponent prime factors to calculate the LCM of 39261 and 39267.

LCM(39261,39267) = 3² × 23¹ × 569¹ × 4363¹
LCM(39261,39267) = 513887229