What is the Least Common Multiple of 88104 and 88110?

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 88104 and 88110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88104 and 88110, than apply into the LCM equation.

GCF(88104,88110) = 6
LCM(88104,88110) = ( 88104 × 88110) / 6
LCM(88104,88110) = 7762843440 / 6
LCM(88104,88110) = 1293807240

Least Common Multiple (LCM) of 88104 and 88110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88104 and 88110. First we will calculate the prime factors of 88104 and 88110.

Prime Factorization of 88104

Prime Factorization of 88110

Now multiplying the highest exponent prime factors to calculate the LCM of 88104 and 88110.

LCM(88104,88110) = 2³ × 3² × 3671¹ × 5¹ × 11¹ × 89¹
LCM(88104,88110) = 1293807240