GCF and LCM Calculator Logo

What is the Least Common Multiple of 26155 and 26160?

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 26155 and 26160 is 136842960.

LCM(26155,26160) = 136842960

LCM Calculator and
and

Least Common Multiple of 26155 and 26160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26155 and 26160, than apply into the LCM equation.

GCF(26155,26160) = 5
LCM(26155,26160) = ( 26155 × 26160) / 5
LCM(26155,26160) = 684214800 / 5
LCM(26155,26160) = 136842960

Least Common Multiple (LCM) of 26155 and 26160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26155 and 26160. First we will calculate the prime factors of 26155 and 26160.

Prime Factorization of 26155

Prime factors of 26155 are 5, 5231. Prime factorization of 26155 in exponential form is:

26155 = 51 × 52311

Prime Factorization of 26160

Prime factors of 26160 are 2, 3, 5, 109. Prime factorization of 26160 in exponential form is:

26160 = 24 × 31 × 51 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 26155 and 26160.

LCM(26155,26160) = 51 × 52311 × 24 × 31 × 1091
LCM(26155,26160) = 136842960