What is the Least Common Multiple of 45414 and 45423?

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 45414 and 45423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45414 and 45423, than apply into the LCM equation.

GCF(45414,45423) = 9
LCM(45414,45423) = ( 45414 × 45423) / 9
LCM(45414,45423) = 2062840122 / 9
LCM(45414,45423) = 229204458

Least Common Multiple (LCM) of 45414 and 45423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45414 and 45423. First we will calculate the prime factors of 45414 and 45423.

Prime Factorization of 45414

Prime Factorization of 45423

Now multiplying the highest exponent prime factors to calculate the LCM of 45414 and 45423.

LCM(45414,45423) = 2¹ × 3³ × 29² × 7² × 103¹
LCM(45414,45423) = 229204458