What is the Least Common Multiple of 39570 and 39584?

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 39570 and 39584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39570 and 39584, than apply into the LCM equation.

GCF(39570,39584) = 2
LCM(39570,39584) = ( 39570 × 39584) / 2
LCM(39570,39584) = 1566338880 / 2
LCM(39570,39584) = 783169440

Least Common Multiple (LCM) of 39570 and 39584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39570 and 39584. First we will calculate the prime factors of 39570 and 39584.

Prime Factorization of 39570

Prime Factorization of 39584

Now multiplying the highest exponent prime factors to calculate the LCM of 39570 and 39584.

LCM(39570,39584) = 2⁵ × 3¹ × 5¹ × 1319¹ × 1237¹
LCM(39570,39584) = 783169440