What is the Least Common Multiple of 45478 and 45489?

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 45478 and 45489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45478 and 45489, than apply into the LCM equation.

GCF(45478,45489) = 1
LCM(45478,45489) = ( 45478 × 45489) / 1
LCM(45478,45489) = 2068748742 / 1
LCM(45478,45489) = 2068748742

Least Common Multiple (LCM) of 45478 and 45489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45478 and 45489. First we will calculate the prime factors of 45478 and 45489.

Prime Factorization of 45478

Prime Factorization of 45489

Now multiplying the highest exponent prime factors to calculate the LCM of 45478 and 45489.

LCM(45478,45489) = 2¹ × 22739¹ × 3¹ × 59¹ × 257¹
LCM(45478,45489) = 2068748742