What is the Least Common Multiple of 50200 and 50206?

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 50200 and 50206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50200 and 50206, than apply into the LCM equation.

GCF(50200,50206) = 2
LCM(50200,50206) = ( 50200 × 50206) / 2
LCM(50200,50206) = 2520341200 / 2
LCM(50200,50206) = 1260170600

Least Common Multiple (LCM) of 50200 and 50206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50200 and 50206. First we will calculate the prime factors of 50200 and 50206.

Prime Factorization of 50200

Prime Factorization of 50206

Now multiplying the highest exponent prime factors to calculate the LCM of 50200 and 50206.

LCM(50200,50206) = 2³ × 5² × 251¹ × 13¹ × 1931¹
LCM(50200,50206) = 1260170600