What is the Least Common Multiple of 63273 and 63285?

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 63273 and 63285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63273 and 63285, than apply into the LCM equation.

GCF(63273,63285) = 3
LCM(63273,63285) = ( 63273 × 63285) / 3
LCM(63273,63285) = 4004231805 / 3
LCM(63273,63285) = 1334743935

Least Common Multiple (LCM) of 63273 and 63285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63273 and 63285. First we will calculate the prime factors of 63273 and 63285.

Prime Factorization of 63273

Prime Factorization of 63285

Now multiplying the highest exponent prime factors to calculate the LCM of 63273 and 63285.

LCM(63273,63285) = 3¹ × 7¹ × 23¹ × 131¹ × 5¹ × 4219¹
LCM(63273,63285) = 1334743935