What is the Least Common Multiple of 8544 and 8554?

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 8554 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 8554, than apply into the LCM equation.

GCF(8544,8554) = 2
LCM(8544,8554) = ( 8544 × 8554) / 2
LCM(8544,8554) = 73085376 / 2
LCM(8544,8554) = 36542688

Least Common Multiple (LCM) of 8544 and 8554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8544 and 8554. First we will calculate the prime factors of 8544 and 8554.

Prime Factorization of 8544

Prime Factorization of 8554

Now multiplying the highest exponent prime factors to calculate the LCM of 8544 and 8554.

LCM(8544,8554) = 2⁵ × 3¹ × 89¹ × 7¹ × 13¹ × 47¹
LCM(8544,8554) = 36542688