What is the Least Common Multiple of 88090 and 88096?

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 88090 and 88096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88090 and 88096, than apply into the LCM equation.

GCF(88090,88096) = 2
LCM(88090,88096) = ( 88090 × 88096) / 2
LCM(88090,88096) = 7760376640 / 2
LCM(88090,88096) = 3880188320

Least Common Multiple (LCM) of 88090 and 88096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88090 and 88096. First we will calculate the prime factors of 88090 and 88096.

Prime Factorization of 88090

Prime Factorization of 88096

Now multiplying the highest exponent prime factors to calculate the LCM of 88090 and 88096.

LCM(88090,88096) = 2⁵ × 5¹ × 23¹ × 383¹ × 2753¹
LCM(88090,88096) = 3880188320