What is the Least Common Multiple of 17538 and 17550?

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 17550 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 17550, than apply into the LCM equation.

GCF(17538,17550) = 6
LCM(17538,17550) = ( 17538 × 17550) / 6
LCM(17538,17550) = 307791900 / 6
LCM(17538,17550) = 51298650

Least Common Multiple (LCM) of 17538 and 17550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17538 and 17550. First we will calculate the prime factors of 17538 and 17550.

Prime Factorization of 17538

Prime Factorization of 17550

Now multiplying the highest exponent prime factors to calculate the LCM of 17538 and 17550.

LCM(17538,17550) = 2¹ × 3³ × 37¹ × 79¹ × 5² × 13¹
LCM(17538,17550) = 51298650