What is the Least Common Multiple of 45223 and 45243?

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 45223 and 45243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45223 and 45243, than apply into the LCM equation.

GCF(45223,45243) = 1
LCM(45223,45243) = ( 45223 × 45243) / 1
LCM(45223,45243) = 2046024189 / 1
LCM(45223,45243) = 2046024189

Least Common Multiple (LCM) of 45223 and 45243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45223 and 45243. First we will calculate the prime factors of 45223 and 45243.

Prime Factorization of 45223

Prime Factorization of 45243

Now multiplying the highest exponent prime factors to calculate the LCM of 45223 and 45243.

LCM(45223,45243) = 41¹ × 1103¹ × 3² × 11¹ × 457¹
LCM(45223,45243) = 2046024189