What is the Least Common Multiple of 45254 and 45271?

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 45254 and 45271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45254 and 45271, than apply into the LCM equation.

GCF(45254,45271) = 17
LCM(45254,45271) = ( 45254 × 45271) / 17
LCM(45254,45271) = 2048693834 / 17
LCM(45254,45271) = 120511402

Least Common Multiple (LCM) of 45254 and 45271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45254 and 45271. First we will calculate the prime factors of 45254 and 45271.

Prime Factorization of 45254

Prime Factorization of 45271

Now multiplying the highest exponent prime factors to calculate the LCM of 45254 and 45271.

LCM(45254,45271) = 2¹ × 11³ × 17¹ × 2663¹
LCM(45254,45271) = 120511402