What is the Least Common Multiple of 18745 and 18757?

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 18745 and 18757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18745 and 18757, than apply into the LCM equation.

GCF(18745,18757) = 1
LCM(18745,18757) = ( 18745 × 18757) / 1
LCM(18745,18757) = 351599965 / 1
LCM(18745,18757) = 351599965

Least Common Multiple (LCM) of 18745 and 18757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18745 and 18757. First we will calculate the prime factors of 18745 and 18757.

Prime Factorization of 18745

Prime Factorization of 18757

Now multiplying the highest exponent prime factors to calculate the LCM of 18745 and 18757.

LCM(18745,18757) = 5¹ × 23¹ × 163¹ × 18757¹
LCM(18745,18757) = 351599965