What is the Least Common Multiple of 39558 and 39570?

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 39558 and 39570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39558 and 39570, than apply into the LCM equation.

GCF(39558,39570) = 6
LCM(39558,39570) = ( 39558 × 39570) / 6
LCM(39558,39570) = 1565310060 / 6
LCM(39558,39570) = 260885010

Least Common Multiple (LCM) of 39558 and 39570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39558 and 39570. First we will calculate the prime factors of 39558 and 39570.

Prime Factorization of 39558

Prime Factorization of 39570

Now multiplying the highest exponent prime factors to calculate the LCM of 39558 and 39570.

LCM(39558,39570) = 2¹ × 3¹ × 19¹ × 347¹ × 5¹ × 1319¹
LCM(39558,39570) = 260885010