What is the Least Common Multiple of 8802 and 8822?

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 8802 and 8822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8802 and 8822, than apply into the LCM equation.

GCF(8802,8822) = 2
LCM(8802,8822) = ( 8802 × 8822) / 2
LCM(8802,8822) = 77651244 / 2
LCM(8802,8822) = 38825622

Least Common Multiple (LCM) of 8802 and 8822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8802 and 8822. First we will calculate the prime factors of 8802 and 8822.

Prime Factorization of 8802

Prime Factorization of 8822

Now multiplying the highest exponent prime factors to calculate the LCM of 8802 and 8822.

LCM(8802,8822) = 2¹ × 3³ × 163¹ × 11¹ × 401¹
LCM(8802,8822) = 38825622