GCF and LCM Calculator Logo

What is the Least Common Multiple of 26171 and 26184?

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 26171 and 26184 is 685261464.

LCM(26171,26184) = 685261464

LCM Calculator and
and

Least Common Multiple of 26171 and 26184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26171 and 26184, than apply into the LCM equation.

GCF(26171,26184) = 1
LCM(26171,26184) = ( 26171 × 26184) / 1
LCM(26171,26184) = 685261464 / 1
LCM(26171,26184) = 685261464

Least Common Multiple (LCM) of 26171 and 26184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26171 and 26184. First we will calculate the prime factors of 26171 and 26184.

Prime Factorization of 26171

Prime factors of 26171 are 26171. Prime factorization of 26171 in exponential form is:

26171 = 261711

Prime Factorization of 26184

Prime factors of 26184 are 2, 3, 1091. Prime factorization of 26184 in exponential form is:

26184 = 23 × 31 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 26171 and 26184.

LCM(26171,26184) = 261711 × 23 × 31 × 10911
LCM(26171,26184) = 685261464