What is the Least Common Multiple of 26189 and 26201?

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 26189 and 26201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26189 and 26201, than apply into the LCM equation.

GCF(26189,26201) = 1
LCM(26189,26201) = ( 26189 × 26201) / 1
LCM(26189,26201) = 686177989 / 1
LCM(26189,26201) = 686177989

Least Common Multiple (LCM) of 26189 and 26201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26189 and 26201. First we will calculate the prime factors of 26189 and 26201.

Prime Factorization of 26189

Prime Factorization of 26201

Now multiplying the highest exponent prime factors to calculate the LCM of 26189 and 26201.

LCM(26189,26201) = 26189¹ × 7¹ × 19¹ × 197¹
LCM(26189,26201) = 686177989