What is the Least Common Multiple of 50854 and 50868?

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 50854 and 50868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50854 and 50868, than apply into the LCM equation.

GCF(50854,50868) = 2
LCM(50854,50868) = ( 50854 × 50868) / 2
LCM(50854,50868) = 2586841272 / 2
LCM(50854,50868) = 1293420636

Least Common Multiple (LCM) of 50854 and 50868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50854 and 50868. First we will calculate the prime factors of 50854 and 50868.

Prime Factorization of 50854

Prime Factorization of 50868

Now multiplying the highest exponent prime factors to calculate the LCM of 50854 and 50868.

LCM(50854,50868) = 2² × 47¹ × 541¹ × 3⁴ × 157¹
LCM(50854,50868) = 1293420636