What is the Least Common Multiple of 71376 and 71393?

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 71376 and 71393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71376 and 71393, than apply into the LCM equation.

GCF(71376,71393) = 1
LCM(71376,71393) = ( 71376 × 71393) / 1
LCM(71376,71393) = 5095746768 / 1
LCM(71376,71393) = 5095746768

Least Common Multiple (LCM) of 71376 and 71393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71376 and 71393. First we will calculate the prime factors of 71376 and 71393.

Prime Factorization of 71376

Prime Factorization of 71393

Now multiplying the highest exponent prime factors to calculate the LCM of 71376 and 71393.

LCM(71376,71393) = 2⁴ × 3¹ × 1487¹ × 7² × 31¹ × 47¹
LCM(71376,71393) = 5095746768