What is the Least Common Multiple of 17734 and 17745?

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 17734 and 17745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17734 and 17745, than apply into the LCM equation.

GCF(17734,17745) = 1
LCM(17734,17745) = ( 17734 × 17745) / 1
LCM(17734,17745) = 314689830 / 1
LCM(17734,17745) = 314689830

Least Common Multiple (LCM) of 17734 and 17745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17734 and 17745. First we will calculate the prime factors of 17734 and 17745.

Prime Factorization of 17734

Prime Factorization of 17745

Now multiplying the highest exponent prime factors to calculate the LCM of 17734 and 17745.

LCM(17734,17745) = 2¹ × 8867¹ × 3¹ × 5¹ × 7¹ × 13²
LCM(17734,17745) = 314689830