What is the Least Common Multiple of 26209 and 26228?

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 26209 and 26228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26209 and 26228, than apply into the LCM equation.

GCF(26209,26228) = 1
LCM(26209,26228) = ( 26209 × 26228) / 1
LCM(26209,26228) = 687409652 / 1
LCM(26209,26228) = 687409652

Least Common Multiple (LCM) of 26209 and 26228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26209 and 26228. First we will calculate the prime factors of 26209 and 26228.

Prime Factorization of 26209

Prime Factorization of 26228

Now multiplying the highest exponent prime factors to calculate the LCM of 26209 and 26228.

LCM(26209,26228) = 26209¹ × 2² × 79¹ × 83¹
LCM(26209,26228) = 687409652