What is the Least Common Multiple of 8509 and 8523?

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 8523 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 8523, than apply into the LCM equation.

GCF(8509,8523) = 1
LCM(8509,8523) = ( 8509 × 8523) / 1
LCM(8509,8523) = 72522207 / 1
LCM(8509,8523) = 72522207

Least Common Multiple (LCM) of 8509 and 8523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8509 and 8523. First we will calculate the prime factors of 8509 and 8523.

Prime Factorization of 8509

Prime Factorization of 8523

Now multiplying the highest exponent prime factors to calculate the LCM of 8509 and 8523.

LCM(8509,8523) = 67¹ × 127¹ × 3² × 947¹
LCM(8509,8523) = 72522207