What is the Least Common Multiple of 54859 and 54869?

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 54859 and 54869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54859 and 54869, than apply into the LCM equation.

GCF(54859,54869) = 1
LCM(54859,54869) = ( 54859 × 54869) / 1
LCM(54859,54869) = 3010058471 / 1
LCM(54859,54869) = 3010058471

Least Common Multiple (LCM) of 54859 and 54869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54859 and 54869. First we will calculate the prime factors of 54859 and 54869.

Prime Factorization of 54859

Prime Factorization of 54869

Now multiplying the highest exponent prime factors to calculate the LCM of 54859 and 54869.

LCM(54859,54869) = 7¹ × 17¹ × 461¹ × 54869¹
LCM(54859,54869) = 3010058471