What is the Least Common Multiple of 8544 and 8562?

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 8544 and 8562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8544 and 8562, than apply into the LCM equation.

GCF(8544,8562) = 6
LCM(8544,8562) = ( 8544 × 8562) / 6
LCM(8544,8562) = 73153728 / 6
LCM(8544,8562) = 12192288

Least Common Multiple (LCM) of 8544 and 8562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8544 and 8562. First we will calculate the prime factors of 8544 and 8562.

Prime Factorization of 8544

Prime Factorization of 8562

Now multiplying the highest exponent prime factors to calculate the LCM of 8544 and 8562.

LCM(8544,8562) = 2⁵ × 3¹ × 89¹ × 1427¹
LCM(8544,8562) = 12192288