What is the Least Common Multiple of 77357 and 77377?

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 77357 and 77377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77357 and 77377, than apply into the LCM equation.

GCF(77357,77377) = 1
LCM(77357,77377) = ( 77357 × 77377) / 1
LCM(77357,77377) = 5985652589 / 1
LCM(77357,77377) = 5985652589

Least Common Multiple (LCM) of 77357 and 77377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77357 and 77377. First we will calculate the prime factors of 77357 and 77377.

Prime Factorization of 77357

Prime Factorization of 77377

Now multiplying the highest exponent prime factors to calculate the LCM of 77357 and 77377.

LCM(77357,77377) = 7¹ × 43¹ × 257¹ × 77377¹
LCM(77357,77377) = 5985652589