What is the Least Common Multiple of 63200 and 63214?

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 63214 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 63214, than apply into the LCM equation.

GCF(63200,63214) = 2
LCM(63200,63214) = ( 63200 × 63214) / 2
LCM(63200,63214) = 3995124800 / 2
LCM(63200,63214) = 1997562400

Least Common Multiple (LCM) of 63200 and 63214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63200 and 63214. First we will calculate the prime factors of 63200 and 63214.

Prime Factorization of 63200

Prime Factorization of 63214

Now multiplying the highest exponent prime factors to calculate the LCM of 63200 and 63214.

LCM(63200,63214) = 2⁵ × 5² × 79¹ × 31607¹
LCM(63200,63214) = 1997562400