What is the Least Common Multiple of 77395 and 77401?

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 77395 and 77401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77395 and 77401, than apply into the LCM equation.

GCF(77395,77401) = 1
LCM(77395,77401) = ( 77395 × 77401) / 1
LCM(77395,77401) = 5990450395 / 1
LCM(77395,77401) = 5990450395

Least Common Multiple (LCM) of 77395 and 77401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77395 and 77401. First we will calculate the prime factors of 77395 and 77401.

Prime Factorization of 77395

Prime Factorization of 77401

Now multiplying the highest exponent prime factors to calculate the LCM of 77395 and 77401.

LCM(77395,77401) = 5¹ × 23¹ × 673¹ × 17¹ × 29¹ × 157¹
LCM(77395,77401) = 5990450395