What is the Least Common Multiple of 18509 and 18516?

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 18509 and 18516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18509 and 18516, than apply into the LCM equation.

GCF(18509,18516) = 1
LCM(18509,18516) = ( 18509 × 18516) / 1
LCM(18509,18516) = 342712644 / 1
LCM(18509,18516) = 342712644

Least Common Multiple (LCM) of 18509 and 18516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18509 and 18516. First we will calculate the prime factors of 18509 and 18516.

Prime Factorization of 18509

Prime Factorization of 18516

Now multiplying the highest exponent prime factors to calculate the LCM of 18509 and 18516.

LCM(18509,18516) = 83¹ × 223¹ × 2² × 3¹ × 1543¹
LCM(18509,18516) = 342712644