What is the Least Common Multiple of 88791 and 88808?

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 88808 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 88808, than apply into the LCM equation.

GCF(88791,88808) = 17
LCM(88791,88808) = ( 88791 × 88808) / 17
LCM(88791,88808) = 7885351128 / 17
LCM(88791,88808) = 463844184

Least Common Multiple (LCM) of 88791 and 88808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88791 and 88808. First we will calculate the prime factors of 88791 and 88808.

Prime Factorization of 88791

Prime Factorization of 88808

Now multiplying the highest exponent prime factors to calculate the LCM of 88791 and 88808.

LCM(88791,88808) = 3¹ × 17¹ × 1741¹ × 2³ × 653¹
LCM(88791,88808) = 463844184