What is the Least Common Multiple of 19782 and 19789?

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 19782 and 19789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19782 and 19789, than apply into the LCM equation.

GCF(19782,19789) = 7
LCM(19782,19789) = ( 19782 × 19789) / 7
LCM(19782,19789) = 391465998 / 7
LCM(19782,19789) = 55923714

Least Common Multiple (LCM) of 19782 and 19789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19782 and 19789. First we will calculate the prime factors of 19782 and 19789.

Prime Factorization of 19782

Prime Factorization of 19789

Now multiplying the highest exponent prime factors to calculate the LCM of 19782 and 19789.

LCM(19782,19789) = 2¹ × 3² × 7¹ × 157¹ × 11¹ × 257¹
LCM(19782,19789) = 55923714