What is the Least Common Multiple of 19638 and 19656?

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 19638 and 19656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19638 and 19656, than apply into the LCM equation.

GCF(19638,19656) = 18
LCM(19638,19656) = ( 19638 × 19656) / 18
LCM(19638,19656) = 386004528 / 18
LCM(19638,19656) = 21444696

Least Common Multiple (LCM) of 19638 and 19656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19638 and 19656. First we will calculate the prime factors of 19638 and 19656.

Prime Factorization of 19638

Prime Factorization of 19656

Now multiplying the highest exponent prime factors to calculate the LCM of 19638 and 19656.

LCM(19638,19656) = 2³ × 3³ × 1091¹ × 7¹ × 13¹
LCM(19638,19656) = 21444696