What is the Least Common Multiple of 77365 and 77381?

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 77365 and 77381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77365 and 77381, than apply into the LCM equation.

GCF(77365,77381) = 1
LCM(77365,77381) = ( 77365 × 77381) / 1
LCM(77365,77381) = 5986581065 / 1
LCM(77365,77381) = 5986581065

Least Common Multiple (LCM) of 77365 and 77381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77365 and 77381. First we will calculate the prime factors of 77365 and 77381.

Prime Factorization of 77365

Prime Factorization of 77381

Now multiplying the highest exponent prime factors to calculate the LCM of 77365 and 77381.

LCM(77365,77381) = 5¹ × 15473¹ × 223¹ × 347¹
LCM(77365,77381) = 5986581065