What is the Least Common Multiple of 18736 and 18745?

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 18736 and 18745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18736 and 18745, than apply into the LCM equation.

GCF(18736,18745) = 1
LCM(18736,18745) = ( 18736 × 18745) / 1
LCM(18736,18745) = 351206320 / 1
LCM(18736,18745) = 351206320

Least Common Multiple (LCM) of 18736 and 18745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18736 and 18745. First we will calculate the prime factors of 18736 and 18745.

Prime Factorization of 18736

Prime Factorization of 18745

Now multiplying the highest exponent prime factors to calculate the LCM of 18736 and 18745.

LCM(18736,18745) = 2⁴ × 1171¹ × 5¹ × 23¹ × 163¹
LCM(18736,18745) = 351206320