GCF and LCM Calculator Logo

What is the Least Common Multiple of 26451 and 26468?

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 26451 and 26468 is 700105068.

LCM(26451,26468) = 700105068

LCM Calculator and
and

Least Common Multiple of 26451 and 26468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26451 and 26468, than apply into the LCM equation.

GCF(26451,26468) = 1
LCM(26451,26468) = ( 26451 × 26468) / 1
LCM(26451,26468) = 700105068 / 1
LCM(26451,26468) = 700105068

Least Common Multiple (LCM) of 26451 and 26468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26451 and 26468. First we will calculate the prime factors of 26451 and 26468.

Prime Factorization of 26451

Prime factors of 26451 are 3, 2939. Prime factorization of 26451 in exponential form is:

26451 = 32 × 29391

Prime Factorization of 26468

Prime factors of 26468 are 2, 13, 509. Prime factorization of 26468 in exponential form is:

26468 = 22 × 131 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 26451 and 26468.

LCM(26451,26468) = 32 × 29391 × 22 × 131 × 5091
LCM(26451,26468) = 700105068