What is the Least Common Multiple of 63210 and 63216?

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 63216 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 63216, than apply into the LCM equation.

GCF(63210,63216) = 6
LCM(63210,63216) = ( 63210 × 63216) / 6
LCM(63210,63216) = 3995883360 / 6
LCM(63210,63216) = 665980560

Least Common Multiple (LCM) of 63210 and 63216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63210 and 63216. First we will calculate the prime factors of 63210 and 63216.

Prime Factorization of 63210

Prime Factorization of 63216

Now multiplying the highest exponent prime factors to calculate the LCM of 63210 and 63216.

LCM(63210,63216) = 2⁴ × 3² × 5¹ × 7² × 43¹ × 439¹
LCM(63210,63216) = 665980560