What is the Least Common Multiple of 50040 and 50057?

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 50040 and 50057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50040 and 50057, than apply into the LCM equation.

GCF(50040,50057) = 1
LCM(50040,50057) = ( 50040 × 50057) / 1
LCM(50040,50057) = 2504852280 / 1
LCM(50040,50057) = 2504852280

Least Common Multiple (LCM) of 50040 and 50057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50040 and 50057. First we will calculate the prime factors of 50040 and 50057.

Prime Factorization of 50040

Prime Factorization of 50057

Now multiplying the highest exponent prime factors to calculate the LCM of 50040 and 50057.

LCM(50040,50057) = 2³ × 3² × 5¹ × 139¹ × 7¹ × 7151¹
LCM(50040,50057) = 2504852280