What is the Least Common Multiple of 44814 and 44825?

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 44814 and 44825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44814 and 44825, than apply into the LCM equation.

GCF(44814,44825) = 11
LCM(44814,44825) = ( 44814 × 44825) / 11
LCM(44814,44825) = 2008787550 / 11
LCM(44814,44825) = 182617050

Least Common Multiple (LCM) of 44814 and 44825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44814 and 44825. First we will calculate the prime factors of 44814 and 44825.

Prime Factorization of 44814

Prime Factorization of 44825

Now multiplying the highest exponent prime factors to calculate the LCM of 44814 and 44825.

LCM(44814,44825) = 2¹ × 3¹ × 7¹ × 11¹ × 97¹ × 5² × 163¹
LCM(44814,44825) = 182617050