What is the Least Common Multiple of 39417 and 39429?

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 39417 and 39429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39417 and 39429, than apply into the LCM equation.

GCF(39417,39429) = 3
LCM(39417,39429) = ( 39417 × 39429) / 3
LCM(39417,39429) = 1554172893 / 3
LCM(39417,39429) = 518057631

Least Common Multiple (LCM) of 39417 and 39429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39417 and 39429. First we will calculate the prime factors of 39417 and 39429.

Prime Factorization of 39417

Prime Factorization of 39429

Now multiplying the highest exponent prime factors to calculate the LCM of 39417 and 39429.

LCM(39417,39429) = 3² × 7¹ × 1877¹ × 13¹ × 337¹
LCM(39417,39429) = 518057631