What is the Least Common Multiple of 19698 and 19707?

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 19698 and 19707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19698 and 19707, than apply into the LCM equation.

GCF(19698,19707) = 3
LCM(19698,19707) = ( 19698 × 19707) / 3
LCM(19698,19707) = 388188486 / 3
LCM(19698,19707) = 129396162

Least Common Multiple (LCM) of 19698 and 19707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19698 and 19707. First we will calculate the prime factors of 19698 and 19707.

Prime Factorization of 19698

Prime Factorization of 19707

Now multiplying the highest exponent prime factors to calculate the LCM of 19698 and 19707.

LCM(19698,19707) = 2¹ × 3¹ × 7² × 67¹ × 6569¹
LCM(19698,19707) = 129396162