What is the Least Common Multiple of 39468 and 39475?

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 39468 and 39475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39468 and 39475, than apply into the LCM equation.

GCF(39468,39475) = 1
LCM(39468,39475) = ( 39468 × 39475) / 1
LCM(39468,39475) = 1557999300 / 1
LCM(39468,39475) = 1557999300

Least Common Multiple (LCM) of 39468 and 39475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39468 and 39475. First we will calculate the prime factors of 39468 and 39475.

Prime Factorization of 39468

Prime Factorization of 39475

Now multiplying the highest exponent prime factors to calculate the LCM of 39468 and 39475.

LCM(39468,39475) = 2² × 3¹ × 11¹ × 13¹ × 23¹ × 5² × 1579¹
LCM(39468,39475) = 1557999300