What is the Least Common Multiple of 18510 and 18514?

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 18514 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 18514, than apply into the LCM equation.

GCF(18510,18514) = 2
LCM(18510,18514) = ( 18510 × 18514) / 2
LCM(18510,18514) = 342694140 / 2
LCM(18510,18514) = 171347070

Least Common Multiple (LCM) of 18510 and 18514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18510 and 18514. First we will calculate the prime factors of 18510 and 18514.

Prime Factorization of 18510

Prime Factorization of 18514

Now multiplying the highest exponent prime factors to calculate the LCM of 18510 and 18514.

LCM(18510,18514) = 2¹ × 3¹ × 5¹ × 617¹ × 9257¹
LCM(18510,18514) = 171347070