What is the Least Common Multiple of 39456 and 39465?

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 39465 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 39465, than apply into the LCM equation.

GCF(39456,39465) = 9
LCM(39456,39465) = ( 39456 × 39465) / 9
LCM(39456,39465) = 1557131040 / 9
LCM(39456,39465) = 173014560

Least Common Multiple (LCM) of 39456 and 39465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39456 and 39465. First we will calculate the prime factors of 39456 and 39465.

Prime Factorization of 39456

Prime Factorization of 39465

Now multiplying the highest exponent prime factors to calculate the LCM of 39456 and 39465.

LCM(39456,39465) = 2⁵ × 3² × 137¹ × 5¹ × 877¹
LCM(39456,39465) = 173014560