What is the Least Common Multiple of 44838 and 44844?

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 44844 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 44844, than apply into the LCM equation.

GCF(44838,44844) = 6
LCM(44838,44844) = ( 44838 × 44844) / 6
LCM(44838,44844) = 2010715272 / 6
LCM(44838,44844) = 335119212

Least Common Multiple (LCM) of 44838 and 44844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44838 and 44844. First we will calculate the prime factors of 44838 and 44844.

Prime Factorization of 44838

Prime Factorization of 44844

Now multiplying the highest exponent prime factors to calculate the LCM of 44838 and 44844.

LCM(44838,44844) = 2² × 3² × 47¹ × 53¹ × 37¹ × 101¹
LCM(44838,44844) = 335119212