What is the Least Common Multiple of 19686 and 19695?

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 19686 and 19695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19686 and 19695, than apply into the LCM equation.

GCF(19686,19695) = 3
LCM(19686,19695) = ( 19686 × 19695) / 3
LCM(19686,19695) = 387715770 / 3
LCM(19686,19695) = 129238590

Least Common Multiple (LCM) of 19686 and 19695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19686 and 19695. First we will calculate the prime factors of 19686 and 19695.

Prime Factorization of 19686

Prime Factorization of 19695

Now multiplying the highest exponent prime factors to calculate the LCM of 19686 and 19695.

LCM(19686,19695) = 2¹ × 3¹ × 17¹ × 193¹ × 5¹ × 13¹ × 101¹
LCM(19686,19695) = 129238590