What is the Least Common Multiple of 88791 and 88809?

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 88791 and 88809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88791 and 88809, than apply into the LCM equation.

GCF(88791,88809) = 3
LCM(88791,88809) = ( 88791 × 88809) / 3
LCM(88791,88809) = 7885439919 / 3
LCM(88791,88809) = 2628479973

Least Common Multiple (LCM) of 88791 and 88809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88791 and 88809. First we will calculate the prime factors of 88791 and 88809.

Prime Factorization of 88791

Prime Factorization of 88809

Now multiplying the highest exponent prime factors to calculate the LCM of 88791 and 88809.

LCM(88791,88809) = 3¹ × 17¹ × 1741¹ × 7¹ × 4229¹
LCM(88791,88809) = 2628479973