GCF and LCM Calculator Logo

What is the Least Common Multiple of 26002 and 26022?

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 26002 and 26022 is 338312022.

LCM(26002,26022) = 338312022

LCM Calculator and
and

Least Common Multiple of 26002 and 26022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26002 and 26022, than apply into the LCM equation.

GCF(26002,26022) = 2
LCM(26002,26022) = ( 26002 × 26022) / 2
LCM(26002,26022) = 676624044 / 2
LCM(26002,26022) = 338312022

Least Common Multiple (LCM) of 26002 and 26022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26002 and 26022. First we will calculate the prime factors of 26002 and 26022.

Prime Factorization of 26002

Prime factors of 26002 are 2, 13001. Prime factorization of 26002 in exponential form is:

26002 = 21 × 130011

Prime Factorization of 26022

Prime factors of 26022 are 2, 3, 4337. Prime factorization of 26022 in exponential form is:

26022 = 21 × 31 × 43371

Now multiplying the highest exponent prime factors to calculate the LCM of 26002 and 26022.

LCM(26002,26022) = 21 × 130011 × 31 × 43371
LCM(26002,26022) = 338312022