What is the Least Common Multiple of 82899 and 82903?

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 82899 and 82903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82899 and 82903, than apply into the LCM equation.

GCF(82899,82903) = 1
LCM(82899,82903) = ( 82899 × 82903) / 1
LCM(82899,82903) = 6872575797 / 1
LCM(82899,82903) = 6872575797

Least Common Multiple (LCM) of 82899 and 82903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82899 and 82903. First we will calculate the prime factors of 82899 and 82903.

Prime Factorization of 82899

Prime Factorization of 82903

Now multiplying the highest exponent prime factors to calculate the LCM of 82899 and 82903.

LCM(82899,82903) = 3² × 61¹ × 151¹ × 82903¹
LCM(82899,82903) = 6872575797