What is the Least Common Multiple of 75392 and 75398?

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 75392 and 75398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75392 and 75398, than apply into the LCM equation.

GCF(75392,75398) = 2
LCM(75392,75398) = ( 75392 × 75398) / 2
LCM(75392,75398) = 5684406016 / 2
LCM(75392,75398) = 2842203008

Least Common Multiple (LCM) of 75392 and 75398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75392 and 75398. First we will calculate the prime factors of 75392 and 75398.

Prime Factorization of 75392

Prime Factorization of 75398

Now multiplying the highest exponent prime factors to calculate the LCM of 75392 and 75398.

LCM(75392,75398) = 2⁷ × 19¹ × 31¹ × 37699¹
LCM(75392,75398) = 2842203008