What is the Least Common Multiple of 45556 and 45574?

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 45556 and 45574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45556 and 45574, than apply into the LCM equation.

GCF(45556,45574) = 2
LCM(45556,45574) = ( 45556 × 45574) / 2
LCM(45556,45574) = 2076169144 / 2
LCM(45556,45574) = 1038084572

Least Common Multiple (LCM) of 45556 and 45574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45556 and 45574. First we will calculate the prime factors of 45556 and 45574.

Prime Factorization of 45556

Prime Factorization of 45574

Now multiplying the highest exponent prime factors to calculate the LCM of 45556 and 45574.

LCM(45556,45574) = 2² × 7¹ × 1627¹ × 22787¹
LCM(45556,45574) = 1038084572