What is the Least Common Multiple of 82488 and 82497?

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 82488 and 82497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82488 and 82497, than apply into the LCM equation.

GCF(82488,82497) = 3
LCM(82488,82497) = ( 82488 × 82497) / 3
LCM(82488,82497) = 6805012536 / 3
LCM(82488,82497) = 2268337512

Least Common Multiple (LCM) of 82488 and 82497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82488 and 82497. First we will calculate the prime factors of 82488 and 82497.

Prime Factorization of 82488

Prime Factorization of 82497

Now multiplying the highest exponent prime factors to calculate the LCM of 82488 and 82497.

LCM(82488,82497) = 2³ × 3¹ × 7¹ × 491¹ × 107¹ × 257¹
LCM(82488,82497) = 2268337512