What is the Least Common Multiple of 88665 and 88684?

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 88665 and 88684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88665 and 88684, than apply into the LCM equation.

GCF(88665,88684) = 1
LCM(88665,88684) = ( 88665 × 88684) / 1
LCM(88665,88684) = 7863166860 / 1
LCM(88665,88684) = 7863166860

Least Common Multiple (LCM) of 88665 and 88684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88665 and 88684. First we will calculate the prime factors of 88665 and 88684.

Prime Factorization of 88665

Prime Factorization of 88684

Now multiplying the highest exponent prime factors to calculate the LCM of 88665 and 88684.

LCM(88665,88684) = 3¹ × 5¹ × 23¹ × 257¹ × 2² × 22171¹
LCM(88665,88684) = 7863166860