What is the Least Common Multiple of 39380 and 39395?

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 39380 and 39395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39380 and 39395, than apply into the LCM equation.

GCF(39380,39395) = 5
LCM(39380,39395) = ( 39380 × 39395) / 5
LCM(39380,39395) = 1551375100 / 5
LCM(39380,39395) = 310275020

Least Common Multiple (LCM) of 39380 and 39395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39380 and 39395. First we will calculate the prime factors of 39380 and 39395.

Prime Factorization of 39380

Prime Factorization of 39395

Now multiplying the highest exponent prime factors to calculate the LCM of 39380 and 39395.

LCM(39380,39395) = 2² × 5¹ × 11¹ × 179¹ × 7879¹
LCM(39380,39395) = 310275020