What is the Least Common Multiple of 17538 and 17547?

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 17538 and 17547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17538 and 17547, than apply into the LCM equation.

GCF(17538,17547) = 3
LCM(17538,17547) = ( 17538 × 17547) / 3
LCM(17538,17547) = 307739286 / 3
LCM(17538,17547) = 102579762

Least Common Multiple (LCM) of 17538 and 17547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17538 and 17547. First we will calculate the prime factors of 17538 and 17547.

Prime Factorization of 17538

Prime Factorization of 17547

Now multiplying the highest exponent prime factors to calculate the LCM of 17538 and 17547.

LCM(17538,17547) = 2¹ × 3¹ × 37¹ × 79¹ × 5849¹
LCM(17538,17547) = 102579762