What is the Least Common Multiple of 8564 and 8582?

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 8564 and 8582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8564 and 8582, than apply into the LCM equation.

GCF(8564,8582) = 2
LCM(8564,8582) = ( 8564 × 8582) / 2
LCM(8564,8582) = 73496248 / 2
LCM(8564,8582) = 36748124

Least Common Multiple (LCM) of 8564 and 8582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8564 and 8582. First we will calculate the prime factors of 8564 and 8582.

Prime Factorization of 8564

Prime Factorization of 8582

Now multiplying the highest exponent prime factors to calculate the LCM of 8564 and 8582.

LCM(8564,8582) = 2² × 2141¹ × 7¹ × 613¹
LCM(8564,8582) = 36748124