What is the Least Common Multiple of 88255 and 88261?

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 88255 and 88261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88255 and 88261, than apply into the LCM equation.

GCF(88255,88261) = 1
LCM(88255,88261) = ( 88255 × 88261) / 1
LCM(88255,88261) = 7789474555 / 1
LCM(88255,88261) = 7789474555

Least Common Multiple (LCM) of 88255 and 88261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88255 and 88261. First we will calculate the prime factors of 88255 and 88261.

Prime Factorization of 88255

Prime Factorization of 88261

Now multiplying the highest exponent prime factors to calculate the LCM of 88255 and 88261.

LCM(88255,88261) = 5¹ × 19¹ × 929¹ × 88261¹
LCM(88255,88261) = 7789474555