What is the Least Common Multiple of 71378 and 71396?

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 71396 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 71396, than apply into the LCM equation.

GCF(71378,71396) = 2
LCM(71378,71396) = ( 71378 × 71396) / 2
LCM(71378,71396) = 5096103688 / 2
LCM(71378,71396) = 2548051844

Least Common Multiple (LCM) of 71378 and 71396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71378 and 71396. First we will calculate the prime factors of 71378 and 71396.

Prime Factorization of 71378

Prime Factorization of 71396

Now multiplying the highest exponent prime factors to calculate the LCM of 71378 and 71396.

LCM(71378,71396) = 2² × 89¹ × 401¹ × 13¹ × 1373¹
LCM(71378,71396) = 2548051844