What is the Least Common Multiple of 71894 and 71912?

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 71894 and 71912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71894 and 71912, than apply into the LCM equation.

GCF(71894,71912) = 2
LCM(71894,71912) = ( 71894 × 71912) / 2
LCM(71894,71912) = 5170041328 / 2
LCM(71894,71912) = 2585020664

Least Common Multiple (LCM) of 71894 and 71912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71894 and 71912. First we will calculate the prime factors of 71894 and 71912.

Prime Factorization of 71894

Prime Factorization of 71912

Now multiplying the highest exponent prime factors to calculate the LCM of 71894 and 71912.

LCM(71894,71912) = 2³ × 103¹ × 349¹ × 89¹ × 101¹
LCM(71894,71912) = 2585020664