What is the Least Common Multiple of 19675 and 19685?

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 19675 and 19685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19675 and 19685, than apply into the LCM equation.

GCF(19675,19685) = 5
LCM(19675,19685) = ( 19675 × 19685) / 5
LCM(19675,19685) = 387302375 / 5
LCM(19675,19685) = 77460475

Least Common Multiple (LCM) of 19675 and 19685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19675 and 19685. First we will calculate the prime factors of 19675 and 19685.

Prime Factorization of 19675

Prime Factorization of 19685

Now multiplying the highest exponent prime factors to calculate the LCM of 19675 and 19685.

LCM(19675,19685) = 5² × 787¹ × 31¹ × 127¹
LCM(19675,19685) = 77460475