What is the Least Common Multiple of 39078 and 39096?

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 39078 and 39096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39078 and 39096, than apply into the LCM equation.

GCF(39078,39096) = 18
LCM(39078,39096) = ( 39078 × 39096) / 18
LCM(39078,39096) = 1527793488 / 18
LCM(39078,39096) = 84877416

Least Common Multiple (LCM) of 39078 and 39096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39078 and 39096. First we will calculate the prime factors of 39078 and 39096.

Prime Factorization of 39078

Prime Factorization of 39096

Now multiplying the highest exponent prime factors to calculate the LCM of 39078 and 39096.

LCM(39078,39096) = 2³ × 3³ × 13¹ × 167¹ × 181¹
LCM(39078,39096) = 84877416