What is the Least Common Multiple of 7894 and 7912?

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 7894 and 7912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7894 and 7912, than apply into the LCM equation.

GCF(7894,7912) = 2
LCM(7894,7912) = ( 7894 × 7912) / 2
LCM(7894,7912) = 62457328 / 2
LCM(7894,7912) = 31228664

Least Common Multiple (LCM) of 7894 and 7912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7894 and 7912. First we will calculate the prime factors of 7894 and 7912.

Prime Factorization of 7894

Prime Factorization of 7912

Now multiplying the highest exponent prime factors to calculate the LCM of 7894 and 7912.

LCM(7894,7912) = 2³ × 3947¹ × 23¹ × 43¹
LCM(7894,7912) = 31228664