What is the Least Common Multiple of 19785 and 19790?

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 19790 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 19790, than apply into the LCM equation.

GCF(19785,19790) = 5
LCM(19785,19790) = ( 19785 × 19790) / 5
LCM(19785,19790) = 391545150 / 5
LCM(19785,19790) = 78309030

Least Common Multiple (LCM) of 19785 and 19790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19785 and 19790. First we will calculate the prime factors of 19785 and 19790.

Prime Factorization of 19785

Prime Factorization of 19790

Now multiplying the highest exponent prime factors to calculate the LCM of 19785 and 19790.

LCM(19785,19790) = 3¹ × 5¹ × 1319¹ × 2¹ × 1979¹
LCM(19785,19790) = 78309030