What is the Least Common Multiple of 18538 and 18551?

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 18538 and 18551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18538 and 18551, than apply into the LCM equation.

GCF(18538,18551) = 13
LCM(18538,18551) = ( 18538 × 18551) / 13
LCM(18538,18551) = 343898438 / 13
LCM(18538,18551) = 26453726

Least Common Multiple (LCM) of 18538 and 18551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18538 and 18551. First we will calculate the prime factors of 18538 and 18551.

Prime Factorization of 18538

Prime Factorization of 18551

Now multiplying the highest exponent prime factors to calculate the LCM of 18538 and 18551.

LCM(18538,18551) = 2¹ × 13¹ × 23¹ × 31¹ × 1427¹
LCM(18538,18551) = 26453726