What is the Least Common Multiple of 19785 and 19797?

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 19785 and 19797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19785 and 19797, than apply into the LCM equation.

GCF(19785,19797) = 3
LCM(19785,19797) = ( 19785 × 19797) / 3
LCM(19785,19797) = 391683645 / 3
LCM(19785,19797) = 130561215

Least Common Multiple (LCM) of 19785 and 19797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19785 and 19797. First we will calculate the prime factors of 19785 and 19797.

Prime Factorization of 19785

Prime Factorization of 19797

Now multiplying the highest exponent prime factors to calculate the LCM of 19785 and 19797.

LCM(19785,19797) = 3¹ × 5¹ × 1319¹ × 6599¹
LCM(19785,19797) = 130561215