What is the Least Common Multiple of 71378 and 71392?

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 71378 and 71392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71378 and 71392, than apply into the LCM equation.

GCF(71378,71392) = 2
LCM(71378,71392) = ( 71378 × 71392) / 2
LCM(71378,71392) = 5095818176 / 2
LCM(71378,71392) = 2547909088

Least Common Multiple (LCM) of 71378 and 71392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71378 and 71392. First we will calculate the prime factors of 71378 and 71392.

Prime Factorization of 71378

Prime Factorization of 71392

Now multiplying the highest exponent prime factors to calculate the LCM of 71378 and 71392.

LCM(71378,71392) = 2⁵ × 89¹ × 401¹ × 23¹ × 97¹
LCM(71378,71392) = 2547909088