What is the Least Common Multiple of 17696 and 17702?

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 17702 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 17702, than apply into the LCM equation.

GCF(17696,17702) = 2
LCM(17696,17702) = ( 17696 × 17702) / 2
LCM(17696,17702) = 313254592 / 2
LCM(17696,17702) = 156627296

Least Common Multiple (LCM) of 17696 and 17702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17696 and 17702. First we will calculate the prime factors of 17696 and 17702.

Prime Factorization of 17696

Prime Factorization of 17702

Now multiplying the highest exponent prime factors to calculate the LCM of 17696 and 17702.

LCM(17696,17702) = 2⁵ × 7¹ × 79¹ × 53¹ × 167¹
LCM(17696,17702) = 156627296