What is the Least Common Multiple of 49831 and 49850?

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 49831 and 49850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49831 and 49850, than apply into the LCM equation.

GCF(49831,49850) = 1
LCM(49831,49850) = ( 49831 × 49850) / 1
LCM(49831,49850) = 2484075350 / 1
LCM(49831,49850) = 2484075350

Least Common Multiple (LCM) of 49831 and 49850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49831 and 49850. First we will calculate the prime factors of 49831 and 49850.

Prime Factorization of 49831

Prime Factorization of 49850

Now multiplying the highest exponent prime factors to calculate the LCM of 49831 and 49850.

LCM(49831,49850) = 49831¹ × 2¹ × 5² × 997¹
LCM(49831,49850) = 2484075350