What is the Least Common Multiple of 39903 and 39912?

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 39903 and 39912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39903 and 39912, than apply into the LCM equation.

GCF(39903,39912) = 3
LCM(39903,39912) = ( 39903 × 39912) / 3
LCM(39903,39912) = 1592608536 / 3
LCM(39903,39912) = 530869512

Least Common Multiple (LCM) of 39903 and 39912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39903 and 39912. First we will calculate the prime factors of 39903 and 39912.

Prime Factorization of 39903

Prime Factorization of 39912

Now multiplying the highest exponent prime factors to calculate the LCM of 39903 and 39912.

LCM(39903,39912) = 3¹ × 47¹ × 283¹ × 2³ × 1663¹
LCM(39903,39912) = 530869512