What is the Least Common Multiple of 50858 and 50870?

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 50858 and 50870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50858 and 50870, than apply into the LCM equation.

GCF(50858,50870) = 2
LCM(50858,50870) = ( 50858 × 50870) / 2
LCM(50858,50870) = 2587146460 / 2
LCM(50858,50870) = 1293573230

Least Common Multiple (LCM) of 50858 and 50870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50858 and 50870. First we will calculate the prime factors of 50858 and 50870.

Prime Factorization of 50858

Prime Factorization of 50870

Now multiplying the highest exponent prime factors to calculate the LCM of 50858 and 50870.

LCM(50858,50870) = 2¹ × 59¹ × 431¹ × 5¹ × 5087¹
LCM(50858,50870) = 1293573230