What is the Least Common Multiple of 47878 and 47894?

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 47878 and 47894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47878 and 47894, than apply into the LCM equation.

GCF(47878,47894) = 2
LCM(47878,47894) = ( 47878 × 47894) / 2
LCM(47878,47894) = 2293068932 / 2
LCM(47878,47894) = 1146534466

Least Common Multiple (LCM) of 47878 and 47894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47878 and 47894. First we will calculate the prime factors of 47878 and 47894.

Prime Factorization of 47878

Prime Factorization of 47894

Now multiplying the highest exponent prime factors to calculate the LCM of 47878 and 47894.

LCM(47878,47894) = 2¹ × 37¹ × 647¹ × 7¹ × 11¹ × 311¹
LCM(47878,47894) = 1146534466