What is the Least Common Multiple of 26205 and 26213?

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 26205 and 26213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26205 and 26213, than apply into the LCM equation.

GCF(26205,26213) = 1
LCM(26205,26213) = ( 26205 × 26213) / 1
LCM(26205,26213) = 686911665 / 1
LCM(26205,26213) = 686911665

Least Common Multiple (LCM) of 26205 and 26213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26205 and 26213. First we will calculate the prime factors of 26205 and 26213.

Prime Factorization of 26205

Prime Factorization of 26213

Now multiplying the highest exponent prime factors to calculate the LCM of 26205 and 26213.

LCM(26205,26213) = 3¹ × 5¹ × 1747¹ × 11¹ × 2383¹
LCM(26205,26213) = 686911665