What is the Least Common Multiple of 63200 and 63210?

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 63200 and 63210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63200 and 63210, than apply into the LCM equation.

GCF(63200,63210) = 10
LCM(63200,63210) = ( 63200 × 63210) / 10
LCM(63200,63210) = 3994872000 / 10
LCM(63200,63210) = 399487200

Least Common Multiple (LCM) of 63200 and 63210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63200 and 63210. First we will calculate the prime factors of 63200 and 63210.

Prime Factorization of 63200

Prime Factorization of 63210

Now multiplying the highest exponent prime factors to calculate the LCM of 63200 and 63210.

LCM(63200,63210) = 2⁵ × 5² × 79¹ × 3¹ × 7² × 43¹
LCM(63200,63210) = 399487200