What is the Least Common Multiple of 49999 and 50003?

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 49999 and 50003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49999 and 50003, than apply into the LCM equation.

GCF(49999,50003) = 1
LCM(49999,50003) = ( 49999 × 50003) / 1
LCM(49999,50003) = 2500099997 / 1
LCM(49999,50003) = 2500099997

Least Common Multiple (LCM) of 49999 and 50003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49999 and 50003. First we will calculate the prime factors of 49999 and 50003.

Prime Factorization of 49999

Prime Factorization of 50003

Now multiplying the highest exponent prime factors to calculate the LCM of 49999 and 50003.

LCM(49999,50003) = 49999¹ × 31¹ × 1613¹
LCM(49999,50003) = 2500099997