What is the Least Common Multiple of 39456 and 39466?

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 39466 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 39466, than apply into the LCM equation.

GCF(39456,39466) = 2
LCM(39456,39466) = ( 39456 × 39466) / 2
LCM(39456,39466) = 1557170496 / 2
LCM(39456,39466) = 778585248

Least Common Multiple (LCM) of 39456 and 39466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39456 and 39466. First we will calculate the prime factors of 39456 and 39466.

Prime Factorization of 39456

Prime Factorization of 39466

Now multiplying the highest exponent prime factors to calculate the LCM of 39456 and 39466.

LCM(39456,39466) = 2⁵ × 3² × 137¹ × 7¹ × 2819¹
LCM(39456,39466) = 778585248