What is the Least Common Multiple of 45945 and 45963?

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 45945 and 45963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45945 and 45963, than apply into the LCM equation.

GCF(45945,45963) = 9
LCM(45945,45963) = ( 45945 × 45963) / 9
LCM(45945,45963) = 2111770035 / 9
LCM(45945,45963) = 234641115

Least Common Multiple (LCM) of 45945 and 45963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45945 and 45963. First we will calculate the prime factors of 45945 and 45963.

Prime Factorization of 45945

Prime Factorization of 45963

Now multiplying the highest exponent prime factors to calculate the LCM of 45945 and 45963.

LCM(45945,45963) = 3² × 5¹ × 1021¹ × 5107¹
LCM(45945,45963) = 234641115