What is the Least Common Multiple of 39432 and 39450?

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 39432 and 39450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39432 and 39450, than apply into the LCM equation.

GCF(39432,39450) = 6
LCM(39432,39450) = ( 39432 × 39450) / 6
LCM(39432,39450) = 1555592400 / 6
LCM(39432,39450) = 259265400

Least Common Multiple (LCM) of 39432 and 39450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39432 and 39450. First we will calculate the prime factors of 39432 and 39450.

Prime Factorization of 39432

Prime Factorization of 39450

Now multiplying the highest exponent prime factors to calculate the LCM of 39432 and 39450.

LCM(39432,39450) = 2³ × 3¹ × 31¹ × 53¹ × 5² × 263¹
LCM(39432,39450) = 259265400