What is the Least Common Multiple of 50405 and 50420?

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 50405 and 50420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50405 and 50420, than apply into the LCM equation.

GCF(50405,50420) = 5
LCM(50405,50420) = ( 50405 × 50420) / 5
LCM(50405,50420) = 2541420100 / 5
LCM(50405,50420) = 508284020

Least Common Multiple (LCM) of 50405 and 50420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50405 and 50420. First we will calculate the prime factors of 50405 and 50420.

Prime Factorization of 50405

Prime Factorization of 50420

Now multiplying the highest exponent prime factors to calculate the LCM of 50405 and 50420.

LCM(50405,50420) = 5¹ × 17¹ × 593¹ × 2² × 2521¹
LCM(50405,50420) = 508284020