What is the Least Common Multiple of 39398 and 39418?

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 39398 and 39418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39398 and 39418, than apply into the LCM equation.

GCF(39398,39418) = 2
LCM(39398,39418) = ( 39398 × 39418) / 2
LCM(39398,39418) = 1552990364 / 2
LCM(39398,39418) = 776495182

Least Common Multiple (LCM) of 39398 and 39418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39398 and 39418. First we will calculate the prime factors of 39398 and 39418.

Prime Factorization of 39398

Prime Factorization of 39418

Now multiplying the highest exponent prime factors to calculate the LCM of 39398 and 39418.

LCM(39398,39418) = 2¹ × 19699¹ × 19709¹
LCM(39398,39418) = 776495182