What is the Least Common Multiple of 8564 and 8576?

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 8576 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 8576, than apply into the LCM equation.

GCF(8564,8576) = 4
LCM(8564,8576) = ( 8564 × 8576) / 4
LCM(8564,8576) = 73444864 / 4
LCM(8564,8576) = 18361216

Least Common Multiple (LCM) of 8564 and 8576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8564 and 8576. First we will calculate the prime factors of 8564 and 8576.

Prime Factorization of 8564

Prime Factorization of 8576

Now multiplying the highest exponent prime factors to calculate the LCM of 8564 and 8576.

LCM(8564,8576) = 2⁷ × 2141¹ × 67¹
LCM(8564,8576) = 18361216