What is the Least Common Multiple of 39429 and 39441?

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 39429 and 39441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39429 and 39441, than apply into the LCM equation.

GCF(39429,39441) = 3
LCM(39429,39441) = ( 39429 × 39441) / 3
LCM(39429,39441) = 1555119189 / 3
LCM(39429,39441) = 518373063

Least Common Multiple (LCM) of 39429 and 39441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39429 and 39441. First we will calculate the prime factors of 39429 and 39441.

Prime Factorization of 39429

Prime Factorization of 39441

Now multiplying the highest exponent prime factors to calculate the LCM of 39429 and 39441.

LCM(39429,39441) = 3² × 13¹ × 337¹ × 13147¹
LCM(39429,39441) = 518373063