What is the Least Common Multiple of 63945 and 63963?

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 63945 and 63963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63945 and 63963, than apply into the LCM equation.

GCF(63945,63963) = 9
LCM(63945,63963) = ( 63945 × 63963) / 9
LCM(63945,63963) = 4090114035 / 9
LCM(63945,63963) = 454457115

Least Common Multiple (LCM) of 63945 and 63963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63945 and 63963. First we will calculate the prime factors of 63945 and 63963.

Prime Factorization of 63945

Prime Factorization of 63963

Now multiplying the highest exponent prime factors to calculate the LCM of 63945 and 63963.

LCM(63945,63963) = 3³ × 5¹ × 7² × 29¹ × 23¹ × 103¹
LCM(63945,63963) = 454457115