What is the Least Common Multiple of 88305 and 88316?

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 88305 and 88316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88305 and 88316, than apply into the LCM equation.

GCF(88305,88316) = 1
LCM(88305,88316) = ( 88305 × 88316) / 1
LCM(88305,88316) = 7798744380 / 1
LCM(88305,88316) = 7798744380

Least Common Multiple (LCM) of 88305 and 88316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88305 and 88316. First we will calculate the prime factors of 88305 and 88316.

Prime Factorization of 88305

Prime Factorization of 88316

Now multiplying the highest exponent prime factors to calculate the LCM of 88305 and 88316.

LCM(88305,88316) = 3¹ × 5¹ × 7¹ × 29² × 2² × 22079¹
LCM(88305,88316) = 7798744380