What is the Least Common Multiple of 22757 and 22763?

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 22757 and 22763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22757 and 22763, than apply into the LCM equation.

GCF(22757,22763) = 1
LCM(22757,22763) = ( 22757 × 22763) / 1
LCM(22757,22763) = 518017591 / 1
LCM(22757,22763) = 518017591

Least Common Multiple (LCM) of 22757 and 22763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22757 and 22763. First we will calculate the prime factors of 22757 and 22763.

Prime Factorization of 22757

Prime Factorization of 22763

Now multiplying the highest exponent prime factors to calculate the LCM of 22757 and 22763.

LCM(22757,22763) = 7¹ × 3251¹ × 13¹ × 17¹ × 103¹
LCM(22757,22763) = 518017591