What is the Least Common Multiple of 39393 and 39407?

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 39393 and 39407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39393 and 39407, than apply into the LCM equation.

GCF(39393,39407) = 1
LCM(39393,39407) = ( 39393 × 39407) / 1
LCM(39393,39407) = 1552359951 / 1
LCM(39393,39407) = 1552359951

Least Common Multiple (LCM) of 39393 and 39407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39393 and 39407. First we will calculate the prime factors of 39393 and 39407.

Prime Factorization of 39393

Prime Factorization of 39407

Now multiplying the highest exponent prime factors to calculate the LCM of 39393 and 39407.

LCM(39393,39407) = 3³ × 1459¹ × 157¹ × 251¹
LCM(39393,39407) = 1552359951