What is the Least Common Multiple of 81239 and 81248?

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 81239 and 81248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81239 and 81248, than apply into the LCM equation.

GCF(81239,81248) = 1
LCM(81239,81248) = ( 81239 × 81248) / 1
LCM(81239,81248) = 6600506272 / 1
LCM(81239,81248) = 6600506272

Least Common Multiple (LCM) of 81239 and 81248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81239 and 81248. First we will calculate the prime factors of 81239 and 81248.

Prime Factorization of 81239

Prime Factorization of 81248

Now multiplying the highest exponent prime factors to calculate the LCM of 81239 and 81248.

LCM(81239,81248) = 81239¹ × 2⁵ × 2539¹
LCM(81239,81248) = 6600506272