What is the Least Common Multiple of 39396 and 39409?

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 39396 and 39409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39396 and 39409, than apply into the LCM equation.

GCF(39396,39409) = 1
LCM(39396,39409) = ( 39396 × 39409) / 1
LCM(39396,39409) = 1552556964 / 1
LCM(39396,39409) = 1552556964

Least Common Multiple (LCM) of 39396 and 39409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39396 and 39409. First we will calculate the prime factors of 39396 and 39409.

Prime Factorization of 39396

Prime Factorization of 39409

Now multiplying the highest exponent prime factors to calculate the LCM of 39396 and 39409.

LCM(39396,39409) = 2² × 3¹ × 7² × 67¹ × 39409¹
LCM(39396,39409) = 1552556964