What is the Least Common Multiple of 17696 and 17710?

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 17696 and 17710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17696 and 17710, than apply into the LCM equation.

GCF(17696,17710) = 14
LCM(17696,17710) = ( 17696 × 17710) / 14
LCM(17696,17710) = 313396160 / 14
LCM(17696,17710) = 22385440

Least Common Multiple (LCM) of 17696 and 17710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17696 and 17710. First we will calculate the prime factors of 17696 and 17710.

Prime Factorization of 17696

Prime Factorization of 17710

Now multiplying the highest exponent prime factors to calculate the LCM of 17696 and 17710.

LCM(17696,17710) = 2⁵ × 7¹ × 79¹ × 5¹ × 11¹ × 23¹
LCM(17696,17710) = 22385440