What is the Least Common Multiple of 44200 and 44209?

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 44200 and 44209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44200 and 44209, than apply into the LCM equation.

GCF(44200,44209) = 1
LCM(44200,44209) = ( 44200 × 44209) / 1
LCM(44200,44209) = 1954037800 / 1
LCM(44200,44209) = 1954037800

Least Common Multiple (LCM) of 44200 and 44209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44200 and 44209. First we will calculate the prime factors of 44200 and 44209.

Prime Factorization of 44200

Prime Factorization of 44209

Now multiplying the highest exponent prime factors to calculate the LCM of 44200 and 44209.

LCM(44200,44209) = 2³ × 5² × 13¹ × 17¹ × 11¹ × 4019¹
LCM(44200,44209) = 1954037800