What is the Least Common Multiple of 79395 and 79415?

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 79395 and 79415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79395 and 79415, than apply into the LCM equation.

GCF(79395,79415) = 5
LCM(79395,79415) = ( 79395 × 79415) / 5
LCM(79395,79415) = 6305153925 / 5
LCM(79395,79415) = 1261030785

Least Common Multiple (LCM) of 79395 and 79415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79395 and 79415. First we will calculate the prime factors of 79395 and 79415.

Prime Factorization of 79395

Prime Factorization of 79415

Now multiplying the highest exponent prime factors to calculate the LCM of 79395 and 79415.

LCM(79395,79415) = 3¹ × 5¹ × 67¹ × 79¹ × 7¹ × 2269¹
LCM(79395,79415) = 1261030785