What is the Least Common Multiple of 63210 and 63219?

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 63210 and 63219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63210 and 63219, than apply into the LCM equation.

GCF(63210,63219) = 3
LCM(63210,63219) = ( 63210 × 63219) / 3
LCM(63210,63219) = 3996072990 / 3
LCM(63210,63219) = 1332024330

Least Common Multiple (LCM) of 63210 and 63219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63210 and 63219. First we will calculate the prime factors of 63210 and 63219.

Prime Factorization of 63210

Prime Factorization of 63219

Now multiplying the highest exponent prime factors to calculate the LCM of 63210 and 63219.

LCM(63210,63219) = 2¹ × 3¹ × 5¹ × 7² × 43¹ × 13¹ × 1621¹
LCM(63210,63219) = 1332024330