What is the Least Common Multiple of 71392 and 71397?

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 71392 and 71397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71392 and 71397, than apply into the LCM equation.

GCF(71392,71397) = 1
LCM(71392,71397) = ( 71392 × 71397) / 1
LCM(71392,71397) = 5097174624 / 1
LCM(71392,71397) = 5097174624

Least Common Multiple (LCM) of 71392 and 71397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71392 and 71397. First we will calculate the prime factors of 71392 and 71397.

Prime Factorization of 71392

Prime Factorization of 71397

Now multiplying the highest exponent prime factors to calculate the LCM of 71392 and 71397.

LCM(71392,71397) = 2⁵ × 23¹ × 97¹ × 3² × 7933¹
LCM(71392,71397) = 5097174624