What is the Least Common Multiple of 19798 and 19817?

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 19798 and 19817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19798 and 19817, than apply into the LCM equation.

GCF(19798,19817) = 19
LCM(19798,19817) = ( 19798 × 19817) / 19
LCM(19798,19817) = 392336966 / 19
LCM(19798,19817) = 20649314

Least Common Multiple (LCM) of 19798 and 19817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19798 and 19817. First we will calculate the prime factors of 19798 and 19817.

Prime Factorization of 19798

Prime Factorization of 19817

Now multiplying the highest exponent prime factors to calculate the LCM of 19798 and 19817.

LCM(19798,19817) = 2¹ × 19¹ × 521¹ × 7¹ × 149¹
LCM(19798,19817) = 20649314