What is the Least Common Multiple of 77582 and 77592?

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 77582 and 77592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77582 and 77592, than apply into the LCM equation.

GCF(77582,77592) = 2
LCM(77582,77592) = ( 77582 × 77592) / 2
LCM(77582,77592) = 6019742544 / 2
LCM(77582,77592) = 3009871272

Least Common Multiple (LCM) of 77582 and 77592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77582 and 77592. First we will calculate the prime factors of 77582 and 77592.

Prime Factorization of 77582

Prime Factorization of 77592

Now multiplying the highest exponent prime factors to calculate the LCM of 77582 and 77592.

LCM(77582,77592) = 2³ × 38791¹ × 3¹ × 53¹ × 61¹
LCM(77582,77592) = 3009871272