GCF and LCM Calculator Logo

What is the Least Common Multiple of 26109 and 26121?

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 26109 and 26121 is 227331063.

LCM(26109,26121) = 227331063

LCM Calculator and
and

Least Common Multiple of 26109 and 26121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26109 and 26121, than apply into the LCM equation.

GCF(26109,26121) = 3
LCM(26109,26121) = ( 26109 × 26121) / 3
LCM(26109,26121) = 681993189 / 3
LCM(26109,26121) = 227331063

Least Common Multiple (LCM) of 26109 and 26121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26109 and 26121. First we will calculate the prime factors of 26109 and 26121.

Prime Factorization of 26109

Prime factors of 26109 are 3, 967. Prime factorization of 26109 in exponential form is:

26109 = 33 × 9671

Prime Factorization of 26121

Prime factors of 26121 are 3, 8707. Prime factorization of 26121 in exponential form is:

26121 = 31 × 87071

Now multiplying the highest exponent prime factors to calculate the LCM of 26109 and 26121.

LCM(26109,26121) = 33 × 9671 × 87071
LCM(26109,26121) = 227331063