What is the Least Common Multiple of 39210 and 39225?

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 39210 and 39225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39210 and 39225, than apply into the LCM equation.

GCF(39210,39225) = 15
LCM(39210,39225) = ( 39210 × 39225) / 15
LCM(39210,39225) = 1538012250 / 15
LCM(39210,39225) = 102534150

Least Common Multiple (LCM) of 39210 and 39225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39210 and 39225. First we will calculate the prime factors of 39210 and 39225.

Prime Factorization of 39210

Prime Factorization of 39225

Now multiplying the highest exponent prime factors to calculate the LCM of 39210 and 39225.

LCM(39210,39225) = 2¹ × 3¹ × 5² × 1307¹ × 523¹
LCM(39210,39225) = 102534150