What is the Least Common Multiple of 45423 and 45438?

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 45423 and 45438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45423 and 45438, than apply into the LCM equation.

GCF(45423,45438) = 3
LCM(45423,45438) = ( 45423 × 45438) / 3
LCM(45423,45438) = 2063930274 / 3
LCM(45423,45438) = 687976758

Least Common Multiple (LCM) of 45423 and 45438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45423 and 45438. First we will calculate the prime factors of 45423 and 45438.

Prime Factorization of 45423

Prime Factorization of 45438

Now multiplying the highest exponent prime factors to calculate the LCM of 45423 and 45438.

LCM(45423,45438) = 3² × 7² × 103¹ × 2¹ × 7573¹
LCM(45423,45438) = 687976758