What is the Least Common Multiple of 39270 and 39282?

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 39270 and 39282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39270 and 39282, than apply into the LCM equation.

GCF(39270,39282) = 6
LCM(39270,39282) = ( 39270 × 39282) / 6
LCM(39270,39282) = 1542604140 / 6
LCM(39270,39282) = 257100690

Least Common Multiple (LCM) of 39270 and 39282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39270 and 39282. First we will calculate the prime factors of 39270 and 39282.

Prime Factorization of 39270

Prime Factorization of 39282

Now multiplying the highest exponent prime factors to calculate the LCM of 39270 and 39282.

LCM(39270,39282) = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 17¹ × 6547¹
LCM(39270,39282) = 257100690