What is the Least Common Multiple of 50850 and 50860?

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 50850 and 50860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50850 and 50860, than apply into the LCM equation.

GCF(50850,50860) = 10
LCM(50850,50860) = ( 50850 × 50860) / 10
LCM(50850,50860) = 2586231000 / 10
LCM(50850,50860) = 258623100

Least Common Multiple (LCM) of 50850 and 50860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50850 and 50860. First we will calculate the prime factors of 50850 and 50860.

Prime Factorization of 50850

Prime Factorization of 50860

Now multiplying the highest exponent prime factors to calculate the LCM of 50850 and 50860.

LCM(50850,50860) = 2² × 3² × 5² × 113¹ × 2543¹
LCM(50850,50860) = 258623100