GCF and LCM Calculator Logo

What is the Least Common Multiple of 26164 and 26172?

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 26164 and 26172 is 171191052.

LCM(26164,26172) = 171191052

LCM Calculator and
and

Least Common Multiple of 26164 and 26172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26164 and 26172, than apply into the LCM equation.

GCF(26164,26172) = 4
LCM(26164,26172) = ( 26164 × 26172) / 4
LCM(26164,26172) = 684764208 / 4
LCM(26164,26172) = 171191052

Least Common Multiple (LCM) of 26164 and 26172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26164 and 26172. First we will calculate the prime factors of 26164 and 26172.

Prime Factorization of 26164

Prime factors of 26164 are 2, 31, 211. Prime factorization of 26164 in exponential form is:

26164 = 22 × 311 × 2111

Prime Factorization of 26172

Prime factors of 26172 are 2, 3, 727. Prime factorization of 26172 in exponential form is:

26172 = 22 × 32 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 26164 and 26172.

LCM(26164,26172) = 22 × 311 × 2111 × 32 × 7271
LCM(26164,26172) = 171191052