What is the Least Common Multiple of 19514 and 19519?

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 19514 and 19519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19514 and 19519, than apply into the LCM equation.

GCF(19514,19519) = 1
LCM(19514,19519) = ( 19514 × 19519) / 1
LCM(19514,19519) = 380893766 / 1
LCM(19514,19519) = 380893766

Least Common Multiple (LCM) of 19514 and 19519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19514 and 19519. First we will calculate the prime factors of 19514 and 19519.

Prime Factorization of 19514

Prime Factorization of 19519

Now multiplying the highest exponent prime factors to calculate the LCM of 19514 and 19519.

LCM(19514,19519) = 2¹ × 11¹ × 887¹ × 131¹ × 149¹
LCM(19514,19519) = 380893766