What is the Least Common Multiple of 8509 and 8516?

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 8509 and 8516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8509 and 8516, than apply into the LCM equation.

GCF(8509,8516) = 1
LCM(8509,8516) = ( 8509 × 8516) / 1
LCM(8509,8516) = 72462644 / 1
LCM(8509,8516) = 72462644

Least Common Multiple (LCM) of 8509 and 8516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8509 and 8516. First we will calculate the prime factors of 8509 and 8516.

Prime Factorization of 8509

Prime Factorization of 8516

Now multiplying the highest exponent prime factors to calculate the LCM of 8509 and 8516.

LCM(8509,8516) = 67¹ × 127¹ × 2² × 2129¹
LCM(8509,8516) = 72462644