What is the Least Common Multiple of 75484 and 75489?

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 75484 and 75489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75484 and 75489, than apply into the LCM equation.

GCF(75484,75489) = 1
LCM(75484,75489) = ( 75484 × 75489) / 1
LCM(75484,75489) = 5698211676 / 1
LCM(75484,75489) = 5698211676

Least Common Multiple (LCM) of 75484 and 75489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75484 and 75489. First we will calculate the prime factors of 75484 and 75489.

Prime Factorization of 75484

Prime Factorization of 75489

Now multiplying the highest exponent prime factors to calculate the LCM of 75484 and 75489.

LCM(75484,75489) = 2² × 113¹ × 167¹ × 3¹ × 25163¹
LCM(75484,75489) = 5698211676