What is the Least Common Multiple of 88264 and 88281?

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 88264 and 88281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88264 and 88281, than apply into the LCM equation.

GCF(88264,88281) = 17
LCM(88264,88281) = ( 88264 × 88281) / 17
LCM(88264,88281) = 7792034184 / 17
LCM(88264,88281) = 458354952

Least Common Multiple (LCM) of 88264 and 88281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88264 and 88281. First we will calculate the prime factors of 88264 and 88281.

Prime Factorization of 88264

Prime Factorization of 88281

Now multiplying the highest exponent prime factors to calculate the LCM of 88264 and 88281.

LCM(88264,88281) = 2³ × 11¹ × 17¹ × 59¹ × 3² × 577¹
LCM(88264,88281) = 458354952