What is the Least Common Multiple of 63186 and 63200?

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 63186 and 63200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63186 and 63200, than apply into the LCM equation.

GCF(63186,63200) = 2
LCM(63186,63200) = ( 63186 × 63200) / 2
LCM(63186,63200) = 3993355200 / 2
LCM(63186,63200) = 1996677600

Least Common Multiple (LCM) of 63186 and 63200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63186 and 63200. First we will calculate the prime factors of 63186 and 63200.

Prime Factorization of 63186

Prime Factorization of 63200

Now multiplying the highest exponent prime factors to calculate the LCM of 63186 and 63200.

LCM(63186,63200) = 2⁵ × 3¹ × 10531¹ × 5² × 79¹
LCM(63186,63200) = 1996677600