What is the Least Common Multiple of 45221 and 45237?

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 45221 and 45237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45221 and 45237, than apply into the LCM equation.

GCF(45221,45237) = 1
LCM(45221,45237) = ( 45221 × 45237) / 1
LCM(45221,45237) = 2045662377 / 1
LCM(45221,45237) = 2045662377

Least Common Multiple (LCM) of 45221 and 45237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45221 and 45237. First we will calculate the prime factors of 45221 and 45237.

Prime Factorization of 45221

Prime Factorization of 45237

Now multiplying the highest exponent prime factors to calculate the LCM of 45221 and 45237.

LCM(45221,45237) = 11¹ × 4111¹ × 3¹ × 17¹ × 887¹
LCM(45221,45237) = 2045662377