What is the Least Common Multiple of 19542 and 19553?

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 19542 and 19553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19542 and 19553, than apply into the LCM equation.

GCF(19542,19553) = 1
LCM(19542,19553) = ( 19542 × 19553) / 1
LCM(19542,19553) = 382104726 / 1
LCM(19542,19553) = 382104726

Least Common Multiple (LCM) of 19542 and 19553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19542 and 19553. First we will calculate the prime factors of 19542 and 19553.

Prime Factorization of 19542

Prime Factorization of 19553

Now multiplying the highest exponent prime factors to calculate the LCM of 19542 and 19553.

LCM(19542,19553) = 2¹ × 3¹ × 3257¹ × 19553¹
LCM(19542,19553) = 382104726