What is the Least Common Multiple of 44895 and 44904?

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 44895 and 44904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44895 and 44904, than apply into the LCM equation.

GCF(44895,44904) = 3
LCM(44895,44904) = ( 44895 × 44904) / 3
LCM(44895,44904) = 2015965080 / 3
LCM(44895,44904) = 671988360

Least Common Multiple (LCM) of 44895 and 44904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44895 and 44904. First we will calculate the prime factors of 44895 and 44904.

Prime Factorization of 44895

Prime Factorization of 44904

Now multiplying the highest exponent prime factors to calculate the LCM of 44895 and 44904.

LCM(44895,44904) = 3¹ × 5¹ × 41¹ × 73¹ × 2³ × 1871¹
LCM(44895,44904) = 671988360