What is the Least Common Multiple of 39144 and 39156?

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 39144 and 39156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39144 and 39156, than apply into the LCM equation.

GCF(39144,39156) = 12
LCM(39144,39156) = ( 39144 × 39156) / 12
LCM(39144,39156) = 1532722464 / 12
LCM(39144,39156) = 127726872

Least Common Multiple (LCM) of 39144 and 39156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39144 and 39156. First we will calculate the prime factors of 39144 and 39156.

Prime Factorization of 39144

Prime Factorization of 39156

Now multiplying the highest exponent prime factors to calculate the LCM of 39144 and 39156.

LCM(39144,39156) = 2³ × 3¹ × 7¹ × 233¹ × 13¹ × 251¹
LCM(39144,39156) = 127726872