What is the Least Common Multiple of 39210 and 39219?

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 39219 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 39219, than apply into the LCM equation.

GCF(39210,39219) = 3
LCM(39210,39219) = ( 39210 × 39219) / 3
LCM(39210,39219) = 1537776990 / 3
LCM(39210,39219) = 512592330

Least Common Multiple (LCM) of 39210 and 39219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39210 and 39219. First we will calculate the prime factors of 39210 and 39219.

Prime Factorization of 39210

Prime Factorization of 39219

Now multiplying the highest exponent prime factors to calculate the LCM of 39210 and 39219.

LCM(39210,39219) = 2¹ × 3¹ × 5¹ × 1307¹ × 17¹ × 769¹
LCM(39210,39219) = 512592330