What is the Least Common Multiple of 50200 and 50211?

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 50211 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 50211, than apply into the LCM equation.

GCF(50200,50211) = 1
LCM(50200,50211) = ( 50200 × 50211) / 1
LCM(50200,50211) = 2520592200 / 1
LCM(50200,50211) = 2520592200

Least Common Multiple (LCM) of 50200 and 50211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50200 and 50211. First we will calculate the prime factors of 50200 and 50211.

Prime Factorization of 50200

Prime Factorization of 50211

Now multiplying the highest exponent prime factors to calculate the LCM of 50200 and 50211.

LCM(50200,50211) = 2³ × 5² × 251¹ × 3² × 7¹ × 797¹
LCM(50200,50211) = 2520592200