What is the Least Common Multiple of 19656 and 19669?

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 19656 and 19669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19656 and 19669, than apply into the LCM equation.

GCF(19656,19669) = 13
LCM(19656,19669) = ( 19656 × 19669) / 13
LCM(19656,19669) = 386613864 / 13
LCM(19656,19669) = 29739528

Least Common Multiple (LCM) of 19656 and 19669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19656 and 19669. First we will calculate the prime factors of 19656 and 19669.

Prime Factorization of 19656

Prime Factorization of 19669

Now multiplying the highest exponent prime factors to calculate the LCM of 19656 and 19669.

LCM(19656,19669) = 2³ × 3³ × 7¹ × 13¹ × 17¹ × 89¹
LCM(19656,19669) = 29739528