What is the Least Common Multiple of 43989 and 44009?

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 43989 and 44009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43989 and 44009, than apply into the LCM equation.

GCF(43989,44009) = 1
LCM(43989,44009) = ( 43989 × 44009) / 1
LCM(43989,44009) = 1935911901 / 1
LCM(43989,44009) = 1935911901

Least Common Multiple (LCM) of 43989 and 44009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43989 and 44009. First we will calculate the prime factors of 43989 and 44009.

Prime Factorization of 43989

Prime Factorization of 44009

Now multiplying the highest exponent prime factors to calculate the LCM of 43989 and 44009.

LCM(43989,44009) = 3¹ × 11¹ × 31¹ × 43¹ × 7¹ × 6287¹
LCM(43989,44009) = 1935911901