What is the Least Common Multiple of 44830 and 44838?

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 44830 and 44838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44830 and 44838, than apply into the LCM equation.

GCF(44830,44838) = 2
LCM(44830,44838) = ( 44830 × 44838) / 2
LCM(44830,44838) = 2010087540 / 2
LCM(44830,44838) = 1005043770

Least Common Multiple (LCM) of 44830 and 44838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44830 and 44838. First we will calculate the prime factors of 44830 and 44838.

Prime Factorization of 44830

Prime Factorization of 44838

Now multiplying the highest exponent prime factors to calculate the LCM of 44830 and 44838.

LCM(44830,44838) = 2¹ × 5¹ × 4483¹ × 3² × 47¹ × 53¹
LCM(44830,44838) = 1005043770