What is the Least Common Multiple of 82878 and 82883?

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 82878 and 82883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82878 and 82883, than apply into the LCM equation.

GCF(82878,82883) = 1
LCM(82878,82883) = ( 82878 × 82883) / 1
LCM(82878,82883) = 6869177274 / 1
LCM(82878,82883) = 6869177274

Least Common Multiple (LCM) of 82878 and 82883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82878 and 82883. First we will calculate the prime factors of 82878 and 82883.

Prime Factorization of 82878

Prime Factorization of 82883

Now multiplying the highest exponent prime factors to calculate the LCM of 82878 and 82883.

LCM(82878,82883) = 2¹ × 3¹ × 19¹ × 727¹ × 82883¹
LCM(82878,82883) = 6869177274