What is the Least Common Multiple of 88289 and 88308?

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 88289 and 88308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88289 and 88308, than apply into the LCM equation.

GCF(88289,88308) = 1
LCM(88289,88308) = ( 88289 × 88308) / 1
LCM(88289,88308) = 7796625012 / 1
LCM(88289,88308) = 7796625012

Least Common Multiple (LCM) of 88289 and 88308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88289 and 88308. First we will calculate the prime factors of 88289 and 88308.

Prime Factorization of 88289

Prime Factorization of 88308

Now multiplying the highest exponent prime factors to calculate the LCM of 88289 and 88308.

LCM(88289,88308) = 88289¹ × 2² × 3² × 11¹ × 223¹
LCM(88289,88308) = 7796625012