What is the Least Common Multiple of 44825 and 44830?

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 44825 and 44830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44825 and 44830, than apply into the LCM equation.

GCF(44825,44830) = 5
LCM(44825,44830) = ( 44825 × 44830) / 5
LCM(44825,44830) = 2009504750 / 5
LCM(44825,44830) = 401900950

Least Common Multiple (LCM) of 44825 and 44830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44825 and 44830. First we will calculate the prime factors of 44825 and 44830.

Prime Factorization of 44825

Prime Factorization of 44830

Now multiplying the highest exponent prime factors to calculate the LCM of 44825 and 44830.

LCM(44825,44830) = 5² × 11¹ × 163¹ × 2¹ × 4483¹
LCM(44825,44830) = 401900950