What is the Least Common Multiple of 50034 and 50040?

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 50034 and 50040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50034 and 50040, than apply into the LCM equation.

GCF(50034,50040) = 6
LCM(50034,50040) = ( 50034 × 50040) / 6
LCM(50034,50040) = 2503701360 / 6
LCM(50034,50040) = 417283560

Least Common Multiple (LCM) of 50034 and 50040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50034 and 50040. First we will calculate the prime factors of 50034 and 50040.

Prime Factorization of 50034

Prime Factorization of 50040

Now multiplying the highest exponent prime factors to calculate the LCM of 50034 and 50040.

LCM(50034,50040) = 2³ × 3² × 31¹ × 269¹ × 5¹ × 139¹
LCM(50034,50040) = 417283560