What is the Least Common Multiple of 8505 and 8519?

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 8505 and 8519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8505 and 8519, than apply into the LCM equation.

GCF(8505,8519) = 7
LCM(8505,8519) = ( 8505 × 8519) / 7
LCM(8505,8519) = 72454095 / 7
LCM(8505,8519) = 10350585

Least Common Multiple (LCM) of 8505 and 8519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8505 and 8519. First we will calculate the prime factors of 8505 and 8519.

Prime Factorization of 8505

Prime Factorization of 8519

Now multiplying the highest exponent prime factors to calculate the LCM of 8505 and 8519.

LCM(8505,8519) = 3⁵ × 5¹ × 7¹ × 1217¹
LCM(8505,8519) = 10350585