What is the Least Common Multiple of 82239 and 82248?

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 82239 and 82248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82239 and 82248, than apply into the LCM equation.

GCF(82239,82248) = 3
LCM(82239,82248) = ( 82239 × 82248) / 3
LCM(82239,82248) = 6763993272 / 3
LCM(82239,82248) = 2254664424

Least Common Multiple (LCM) of 82239 and 82248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82239 and 82248. First we will calculate the prime factors of 82239 and 82248.

Prime Factorization of 82239

Prime Factorization of 82248

Now multiplying the highest exponent prime factors to calculate the LCM of 82239 and 82248.

LCM(82239,82248) = 3¹ × 79¹ × 347¹ × 2³ × 23¹ × 149¹
LCM(82239,82248) = 2254664424