What is the Least Common Multiple of 8822 and 8828?

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 8822 and 8828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8822 and 8828, than apply into the LCM equation.

GCF(8822,8828) = 2
LCM(8822,8828) = ( 8822 × 8828) / 2
LCM(8822,8828) = 77880616 / 2
LCM(8822,8828) = 38940308

Least Common Multiple (LCM) of 8822 and 8828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8822 and 8828. First we will calculate the prime factors of 8822 and 8828.

Prime Factorization of 8822

Prime Factorization of 8828

Now multiplying the highest exponent prime factors to calculate the LCM of 8822 and 8828.

LCM(8822,8828) = 2² × 11¹ × 401¹ × 2207¹
LCM(8822,8828) = 38940308