What is the Least Common Multiple of 18510 and 18524?

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 18510 and 18524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18510 and 18524, than apply into the LCM equation.

GCF(18510,18524) = 2
LCM(18510,18524) = ( 18510 × 18524) / 2
LCM(18510,18524) = 342879240 / 2
LCM(18510,18524) = 171439620

Least Common Multiple (LCM) of 18510 and 18524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18510 and 18524. First we will calculate the prime factors of 18510 and 18524.

Prime Factorization of 18510

Prime Factorization of 18524

Now multiplying the highest exponent prime factors to calculate the LCM of 18510 and 18524.

LCM(18510,18524) = 2² × 3¹ × 5¹ × 617¹ × 11¹ × 421¹
LCM(18510,18524) = 171439620