What is the Least Common Multiple of 45444 and 45462?

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 45444 and 45462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45444 and 45462, than apply into the LCM equation.

GCF(45444,45462) = 6
LCM(45444,45462) = ( 45444 × 45462) / 6
LCM(45444,45462) = 2065975128 / 6
LCM(45444,45462) = 344329188

Least Common Multiple (LCM) of 45444 and 45462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45444 and 45462. First we will calculate the prime factors of 45444 and 45462.

Prime Factorization of 45444

Prime Factorization of 45462

Now multiplying the highest exponent prime factors to calculate the LCM of 45444 and 45462.

LCM(45444,45462) = 2² × 3¹ × 7¹ × 541¹ × 7577¹
LCM(45444,45462) = 344329188