GCF and LCM Calculator Logo

What is the Least Common Multiple of 26206 and 26220?

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 26206 and 26220 is 343560660.

LCM(26206,26220) = 343560660

LCM Calculator and
and

Least Common Multiple of 26206 and 26220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26206 and 26220, than apply into the LCM equation.

GCF(26206,26220) = 2
LCM(26206,26220) = ( 26206 × 26220) / 2
LCM(26206,26220) = 687121320 / 2
LCM(26206,26220) = 343560660

Least Common Multiple (LCM) of 26206 and 26220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26206 and 26220. First we will calculate the prime factors of 26206 and 26220.

Prime Factorization of 26206

Prime factors of 26206 are 2, 13103. Prime factorization of 26206 in exponential form is:

26206 = 21 × 131031

Prime Factorization of 26220

Prime factors of 26220 are 2, 3, 5, 19, 23. Prime factorization of 26220 in exponential form is:

26220 = 22 × 31 × 51 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 26206 and 26220.

LCM(26206,26220) = 22 × 131031 × 31 × 51 × 191 × 231
LCM(26206,26220) = 343560660