What is the Least Common Multiple of 26185 and 26204?

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 26185 and 26204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26185 and 26204, than apply into the LCM equation.

GCF(26185,26204) = 1
LCM(26185,26204) = ( 26185 × 26204) / 1
LCM(26185,26204) = 686151740 / 1
LCM(26185,26204) = 686151740

Least Common Multiple (LCM) of 26185 and 26204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26185 and 26204. First we will calculate the prime factors of 26185 and 26204.

Prime Factorization of 26185

Prime Factorization of 26204

Now multiplying the highest exponent prime factors to calculate the LCM of 26185 and 26204.

LCM(26185,26204) = 5¹ × 5237¹ × 2² × 6551¹
LCM(26185,26204) = 686151740