What is the Least Common Multiple of 44835 and 44849?

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 44835 and 44849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44835 and 44849, than apply into the LCM equation.

GCF(44835,44849) = 7
LCM(44835,44849) = ( 44835 × 44849) / 7
LCM(44835,44849) = 2010804915 / 7
LCM(44835,44849) = 287257845

Least Common Multiple (LCM) of 44835 and 44849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44835 and 44849. First we will calculate the prime factors of 44835 and 44849.

Prime Factorization of 44835

Prime Factorization of 44849

Now multiplying the highest exponent prime factors to calculate the LCM of 44835 and 44849.

LCM(44835,44849) = 3¹ × 5¹ × 7² × 61¹ × 43¹ × 149¹
LCM(44835,44849) = 287257845