What is the Least Common Multiple of 53859 and 53869?

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 53859 and 53869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53859 and 53869, than apply into the LCM equation.

GCF(53859,53869) = 1
LCM(53859,53869) = ( 53859 × 53869) / 1
LCM(53859,53869) = 2901330471 / 1
LCM(53859,53869) = 2901330471

Least Common Multiple (LCM) of 53859 and 53869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53859 and 53869. First we will calculate the prime factors of 53859 and 53869.

Prime Factorization of 53859

Prime Factorization of 53869

Now multiplying the highest exponent prime factors to calculate the LCM of 53859 and 53869.

LCM(53859,53869) = 3¹ × 13¹ × 1381¹ × 103¹ × 523¹
LCM(53859,53869) = 2901330471