What is the Least Common Multiple of 15419 and 15436?

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 15419 and 15436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15419 and 15436, than apply into the LCM equation.

GCF(15419,15436) = 17
LCM(15419,15436) = ( 15419 × 15436) / 17
LCM(15419,15436) = 238007684 / 17
LCM(15419,15436) = 14000452

Least Common Multiple (LCM) of 15419 and 15436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15419 and 15436. First we will calculate the prime factors of 15419 and 15436.

Prime Factorization of 15419

Prime Factorization of 15436

Now multiplying the highest exponent prime factors to calculate the LCM of 15419 and 15436.

LCM(15419,15436) = 17¹ × 907¹ × 2² × 227¹
LCM(15419,15436) = 14000452