GCF and LCM Calculator Logo

What is the Least Common Multiple of 26638 and 26652?

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 26638 and 26652 is 354977988.

LCM(26638,26652) = 354977988

LCM Calculator and
and

Least Common Multiple of 26638 and 26652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26638 and 26652, than apply into the LCM equation.

GCF(26638,26652) = 2
LCM(26638,26652) = ( 26638 × 26652) / 2
LCM(26638,26652) = 709955976 / 2
LCM(26638,26652) = 354977988

Least Common Multiple (LCM) of 26638 and 26652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26638 and 26652. First we will calculate the prime factors of 26638 and 26652.

Prime Factorization of 26638

Prime factors of 26638 are 2, 19, 701. Prime factorization of 26638 in exponential form is:

26638 = 21 × 191 × 7011

Prime Factorization of 26652

Prime factors of 26652 are 2, 3, 2221. Prime factorization of 26652 in exponential form is:

26652 = 22 × 31 × 22211

Now multiplying the highest exponent prime factors to calculate the LCM of 26638 and 26652.

LCM(26638,26652) = 22 × 191 × 7011 × 31 × 22211
LCM(26638,26652) = 354977988