What is the Least Common Multiple of 39189 and 39201?

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 39189 and 39201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39189 and 39201, than apply into the LCM equation.

GCF(39189,39201) = 3
LCM(39189,39201) = ( 39189 × 39201) / 3
LCM(39189,39201) = 1536247989 / 3
LCM(39189,39201) = 512082663

Least Common Multiple (LCM) of 39189 and 39201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39189 and 39201. First we will calculate the prime factors of 39189 and 39201.

Prime Factorization of 39189

Prime Factorization of 39201

Now multiplying the highest exponent prime factors to calculate the LCM of 39189 and 39201.

LCM(39189,39201) = 3¹ × 13063¹ × 73¹ × 179¹
LCM(39189,39201) = 512082663