What is the Least Common Multiple of 88306 and 88311?

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 88306 and 88311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88306 and 88311, than apply into the LCM equation.

GCF(88306,88311) = 1
LCM(88306,88311) = ( 88306 × 88311) / 1
LCM(88306,88311) = 7798391166 / 1
LCM(88306,88311) = 7798391166

Least Common Multiple (LCM) of 88306 and 88311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88306 and 88311. First we will calculate the prime factors of 88306 and 88311.

Prime Factorization of 88306

Prime Factorization of 88311

Now multiplying the highest exponent prime factors to calculate the LCM of 88306 and 88311.

LCM(88306,88311) = 2¹ × 67¹ × 659¹ × 3¹ × 29437¹
LCM(88306,88311) = 7798391166