What is the Least Common Multiple of 88306 and 88318?

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 88318 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 88318, than apply into the LCM equation.

GCF(88306,88318) = 2
LCM(88306,88318) = ( 88306 × 88318) / 2
LCM(88306,88318) = 7799009308 / 2
LCM(88306,88318) = 3899504654

Least Common Multiple (LCM) of 88306 and 88318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88306 and 88318. First we will calculate the prime factors of 88306 and 88318.

Prime Factorization of 88306

Prime Factorization of 88318

Now multiplying the highest exponent prime factors to calculate the LCM of 88306 and 88318.

LCM(88306,88318) = 2¹ × 67¹ × 659¹ × 44159¹
LCM(88306,88318) = 3899504654