What is the Least Common Multiple of 44838 and 44850?

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 44838 and 44850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44838 and 44850, than apply into the LCM equation.

GCF(44838,44850) = 6
LCM(44838,44850) = ( 44838 × 44850) / 6
LCM(44838,44850) = 2010984300 / 6
LCM(44838,44850) = 335164050

Least Common Multiple (LCM) of 44838 and 44850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44838 and 44850. First we will calculate the prime factors of 44838 and 44850.

Prime Factorization of 44838

Prime Factorization of 44850

Now multiplying the highest exponent prime factors to calculate the LCM of 44838 and 44850.

LCM(44838,44850) = 2¹ × 3² × 47¹ × 53¹ × 5² × 13¹ × 23¹
LCM(44838,44850) = 335164050