What is the Least Common Multiple of 74864 and 74868?

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 74864 and 74868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74864 and 74868, than apply into the LCM equation.

GCF(74864,74868) = 4
LCM(74864,74868) = ( 74864 × 74868) / 4
LCM(74864,74868) = 5604917952 / 4
LCM(74864,74868) = 1401229488

Least Common Multiple (LCM) of 74864 and 74868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74864 and 74868. First we will calculate the prime factors of 74864 and 74868.

Prime Factorization of 74864

Prime Factorization of 74868

Now multiplying the highest exponent prime factors to calculate the LCM of 74864 and 74868.

LCM(74864,74868) = 2⁴ × 4679¹ × 3¹ × 17¹ × 367¹
LCM(74864,74868) = 1401229488