What is the Least Common Multiple of 39456 and 39462?

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 39456 and 39462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39456 and 39462, than apply into the LCM equation.

GCF(39456,39462) = 6
LCM(39456,39462) = ( 39456 × 39462) / 6
LCM(39456,39462) = 1557012672 / 6
LCM(39456,39462) = 259502112

Least Common Multiple (LCM) of 39456 and 39462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39456 and 39462. First we will calculate the prime factors of 39456 and 39462.

Prime Factorization of 39456

Prime Factorization of 39462

Now multiplying the highest exponent prime factors to calculate the LCM of 39456 and 39462.

LCM(39456,39462) = 2⁵ × 3² × 137¹ × 6577¹
LCM(39456,39462) = 259502112