What is the Least Common Multiple of 26423 and 26435?

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 26423 and 26435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26423 and 26435, than apply into the LCM equation.

GCF(26423,26435) = 1
LCM(26423,26435) = ( 26423 × 26435) / 1
LCM(26423,26435) = 698492005 / 1
LCM(26423,26435) = 698492005

Least Common Multiple (LCM) of 26423 and 26435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26423 and 26435. First we will calculate the prime factors of 26423 and 26435.

Prime Factorization of 26423

Prime Factorization of 26435

Now multiplying the highest exponent prime factors to calculate the LCM of 26423 and 26435.

LCM(26423,26435) = 26423¹ × 5¹ × 17¹ × 311¹
LCM(26423,26435) = 698492005