GCF and LCM Calculator Logo

What is the Least Common Multiple of 26075 and 26086?

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 (LCM) of 26075 and 26086 is 680192450.

LCM(26075,26086) = 680192450

LCM Calculator and
and

Least Common Multiple of 26075 and 26086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26075 and 26086, than apply into the LCM equation.

GCF(26075,26086) = 1
LCM(26075,26086) = ( 26075 × 26086) / 1
LCM(26075,26086) = 680192450 / 1
LCM(26075,26086) = 680192450

Least Common Multiple (LCM) of 26075 and 26086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26075 and 26086. First we will calculate the prime factors of 26075 and 26086.

Prime Factorization of 26075

Prime factors of 26075 are 5, 7, 149. Prime factorization of 26075 in exponential form is:

26075 = 52 × 71 × 1491

Prime Factorization of 26086

Prime factors of 26086 are 2, 13043. Prime factorization of 26086 in exponential form is:

26086 = 21 × 130431

Now multiplying the highest exponent prime factors to calculate the LCM of 26075 and 26086.

LCM(26075,26086) = 52 × 71 × 1491 × 21 × 130431
LCM(26075,26086) = 680192450