What is the Least Common Multiple of 19509 and 19514?

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 19509 and 19514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19509 and 19514, than apply into the LCM equation.

GCF(19509,19514) = 1
LCM(19509,19514) = ( 19509 × 19514) / 1
LCM(19509,19514) = 380698626 / 1
LCM(19509,19514) = 380698626

Least Common Multiple (LCM) of 19509 and 19514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19509 and 19514. First we will calculate the prime factors of 19509 and 19514.

Prime Factorization of 19509

Prime Factorization of 19514

Now multiplying the highest exponent prime factors to calculate the LCM of 19509 and 19514.

LCM(19509,19514) = 3¹ × 7¹ × 929¹ × 2¹ × 11¹ × 887¹
LCM(19509,19514) = 380698626