What is the Least Common Multiple of 17714 and 17733?

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 17714 and 17733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17714 and 17733, than apply into the LCM equation.

GCF(17714,17733) = 1
LCM(17714,17733) = ( 17714 × 17733) / 1
LCM(17714,17733) = 314122362 / 1
LCM(17714,17733) = 314122362

Least Common Multiple (LCM) of 17714 and 17733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17714 and 17733. First we will calculate the prime factors of 17714 and 17733.

Prime Factorization of 17714

Prime Factorization of 17733

Now multiplying the highest exponent prime factors to calculate the LCM of 17714 and 17733.

LCM(17714,17733) = 2¹ × 17¹ × 521¹ × 3¹ × 23¹ × 257¹
LCM(17714,17733) = 314122362