What is the Least Common Multiple of 45238 and 45257?

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 45238 and 45257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45238 and 45257, than apply into the LCM equation.

GCF(45238,45257) = 1
LCM(45238,45257) = ( 45238 × 45257) / 1
LCM(45238,45257) = 2047336166 / 1
LCM(45238,45257) = 2047336166

Least Common Multiple (LCM) of 45238 and 45257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45238 and 45257. First we will calculate the prime factors of 45238 and 45257.

Prime Factorization of 45238

Prime Factorization of 45257

Now multiplying the highest exponent prime factors to calculate the LCM of 45238 and 45257.

LCM(45238,45257) = 2¹ × 22619¹ × 167¹ × 271¹
LCM(45238,45257) = 2047336166