What is the Least Common Multiple of 50005 and 50014?

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 50005 and 50014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50005 and 50014, than apply into the LCM equation.

GCF(50005,50014) = 1
LCM(50005,50014) = ( 50005 × 50014) / 1
LCM(50005,50014) = 2500950070 / 1
LCM(50005,50014) = 2500950070

Least Common Multiple (LCM) of 50005 and 50014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50005 and 50014. First we will calculate the prime factors of 50005 and 50014.

Prime Factorization of 50005

Prime Factorization of 50014

Now multiplying the highest exponent prime factors to calculate the LCM of 50005 and 50014.

LCM(50005,50014) = 5¹ × 73¹ × 137¹ × 2¹ × 17¹ × 1471¹
LCM(50005,50014) = 2500950070