What is the Least Common Multiple of 8816 and 8827?

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 8816 and 8827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8816 and 8827, than apply into the LCM equation.

GCF(8816,8827) = 1
LCM(8816,8827) = ( 8816 × 8827) / 1
LCM(8816,8827) = 77818832 / 1
LCM(8816,8827) = 77818832

Least Common Multiple (LCM) of 8816 and 8827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8816 and 8827. First we will calculate the prime factors of 8816 and 8827.

Prime Factorization of 8816

Prime Factorization of 8827

Now multiplying the highest exponent prime factors to calculate the LCM of 8816 and 8827.

LCM(8816,8827) = 2⁴ × 19¹ × 29¹ × 7¹ × 13¹ × 97¹
LCM(8816,8827) = 77818832