GCF and LCM Calculator Logo

What is the Least Common Multiple of 26565 and 26578?

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 26565 and 26578 is 706044570.

LCM(26565,26578) = 706044570

LCM Calculator and
and

Least Common Multiple of 26565 and 26578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26565 and 26578, than apply into the LCM equation.

GCF(26565,26578) = 1
LCM(26565,26578) = ( 26565 × 26578) / 1
LCM(26565,26578) = 706044570 / 1
LCM(26565,26578) = 706044570

Least Common Multiple (LCM) of 26565 and 26578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26565 and 26578. First we will calculate the prime factors of 26565 and 26578.

Prime Factorization of 26565

Prime factors of 26565 are 3, 5, 7, 11, 23. Prime factorization of 26565 in exponential form is:

26565 = 31 × 51 × 71 × 111 × 231

Prime Factorization of 26578

Prime factors of 26578 are 2, 97, 137. Prime factorization of 26578 in exponential form is:

26578 = 21 × 971 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 26565 and 26578.

LCM(26565,26578) = 31 × 51 × 71 × 111 × 231 × 21 × 971 × 1371
LCM(26565,26578) = 706044570