What is the Least Common Multiple of 75398 and 75416?

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 75398 and 75416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75398 and 75416, than apply into the LCM equation.

GCF(75398,75416) = 2
LCM(75398,75416) = ( 75398 × 75416) / 2
LCM(75398,75416) = 5686215568 / 2
LCM(75398,75416) = 2843107784

Least Common Multiple (LCM) of 75398 and 75416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75398 and 75416. First we will calculate the prime factors of 75398 and 75416.

Prime Factorization of 75398

Prime Factorization of 75416

Now multiplying the highest exponent prime factors to calculate the LCM of 75398 and 75416.

LCM(75398,75416) = 2³ × 37699¹ × 11¹ × 857¹
LCM(75398,75416) = 2843107784