What is the Least Common Multiple of 63288 and 63306?

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 63288 and 63306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63288 and 63306, than apply into the LCM equation.

GCF(63288,63306) = 18
LCM(63288,63306) = ( 63288 × 63306) / 18
LCM(63288,63306) = 4006510128 / 18
LCM(63288,63306) = 222583896

Least Common Multiple (LCM) of 63288 and 63306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63288 and 63306. First we will calculate the prime factors of 63288 and 63306.

Prime Factorization of 63288

Prime Factorization of 63306

Now multiplying the highest exponent prime factors to calculate the LCM of 63288 and 63306.

LCM(63288,63306) = 2³ × 3³ × 293¹ × 3517¹
LCM(63288,63306) = 222583896