What is the Least Common Multiple of 26597 and 26614?

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 26597 and 26614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26597 and 26614, than apply into the LCM equation.

GCF(26597,26614) = 1
LCM(26597,26614) = ( 26597 × 26614) / 1
LCM(26597,26614) = 707852558 / 1
LCM(26597,26614) = 707852558

Least Common Multiple (LCM) of 26597 and 26614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26597 and 26614. First we will calculate the prime factors of 26597 and 26614.

Prime Factorization of 26597

Prime Factorization of 26614

Now multiplying the highest exponent prime factors to calculate the LCM of 26597 and 26614.

LCM(26597,26614) = 26597¹ × 2¹ × 7¹ × 1901¹
LCM(26597,26614) = 707852558