What is the Least Common Multiple of 66210 and 66219?

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 66210 and 66219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66210 and 66219, than apply into the LCM equation.

GCF(66210,66219) = 3
LCM(66210,66219) = ( 66210 × 66219) / 3
LCM(66210,66219) = 4384359990 / 3
LCM(66210,66219) = 1461453330

Least Common Multiple (LCM) of 66210 and 66219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66210 and 66219. First we will calculate the prime factors of 66210 and 66219.

Prime Factorization of 66210

Prime Factorization of 66219

Now multiplying the highest exponent prime factors to calculate the LCM of 66210 and 66219.

LCM(66210,66219) = 2¹ × 3¹ × 5¹ × 2207¹ × 22073¹
LCM(66210,66219) = 1461453330