What is the Least Common Multiple of 8509 and 8524?

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 8524 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 8524, than apply into the LCM equation.

GCF(8509,8524) = 1
LCM(8509,8524) = ( 8509 × 8524) / 1
LCM(8509,8524) = 72530716 / 1
LCM(8509,8524) = 72530716

Least Common Multiple (LCM) of 8509 and 8524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8509 and 8524. First we will calculate the prime factors of 8509 and 8524.

Prime Factorization of 8509

Prime Factorization of 8524

Now multiplying the highest exponent prime factors to calculate the LCM of 8509 and 8524.

LCM(8509,8524) = 67¹ × 127¹ × 2² × 2131¹
LCM(8509,8524) = 72530716