What is the Least Common Multiple of 63285 and 63300?

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 63285 and 63300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63285 and 63300, than apply into the LCM equation.

GCF(63285,63300) = 15
LCM(63285,63300) = ( 63285 × 63300) / 15
LCM(63285,63300) = 4005940500 / 15
LCM(63285,63300) = 267062700

Least Common Multiple (LCM) of 63285 and 63300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63285 and 63300. First we will calculate the prime factors of 63285 and 63300.

Prime Factorization of 63285

Prime Factorization of 63300

Now multiplying the highest exponent prime factors to calculate the LCM of 63285 and 63300.

LCM(63285,63300) = 3¹ × 5² × 4219¹ × 2² × 211¹
LCM(63285,63300) = 267062700