What is the Least Common Multiple of 88822 and 88836?

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 88822 and 88836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88822 and 88836, than apply into the LCM equation.

GCF(88822,88836) = 2
LCM(88822,88836) = ( 88822 × 88836) / 2
LCM(88822,88836) = 7890591192 / 2
LCM(88822,88836) = 3945295596

Least Common Multiple (LCM) of 88822 and 88836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88822 and 88836. First we will calculate the prime factors of 88822 and 88836.

Prime Factorization of 88822

Prime Factorization of 88836

Now multiplying the highest exponent prime factors to calculate the LCM of 88822 and 88836.

LCM(88822,88836) = 2² × 89¹ × 499¹ × 3¹ × 11¹ × 673¹
LCM(88822,88836) = 3945295596