GCF and LCM Calculator Logo

What is the Least Common Multiple of 26547 and 26562?

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 26547 and 26562 is 235047138.

LCM(26547,26562) = 235047138

LCM Calculator and
and

Least Common Multiple of 26547 and 26562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26547 and 26562, than apply into the LCM equation.

GCF(26547,26562) = 3
LCM(26547,26562) = ( 26547 × 26562) / 3
LCM(26547,26562) = 705141414 / 3
LCM(26547,26562) = 235047138

Least Common Multiple (LCM) of 26547 and 26562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26547 and 26562. First we will calculate the prime factors of 26547 and 26562.

Prime Factorization of 26547

Prime factors of 26547 are 3, 8849. Prime factorization of 26547 in exponential form is:

26547 = 31 × 88491

Prime Factorization of 26562

Prime factors of 26562 are 2, 3, 19, 233. Prime factorization of 26562 in exponential form is:

26562 = 21 × 31 × 191 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 26547 and 26562.

LCM(26547,26562) = 31 × 88491 × 21 × 191 × 2331
LCM(26547,26562) = 235047138