What is the Least Common Multiple of 39573 and 39579?

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 39573 and 39579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39573 and 39579, than apply into the LCM equation.

GCF(39573,39579) = 3
LCM(39573,39579) = ( 39573 × 39579) / 3
LCM(39573,39579) = 1566259767 / 3
LCM(39573,39579) = 522086589

Least Common Multiple (LCM) of 39573 and 39579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39573 and 39579. First we will calculate the prime factors of 39573 and 39579.

Prime Factorization of 39573

Prime Factorization of 39579

Now multiplying the highest exponent prime factors to calculate the LCM of 39573 and 39579.

LCM(39573,39579) = 3² × 4397¹ × 79¹ × 167¹
LCM(39573,39579) = 522086589