GCF and LCM Calculator Logo

What is the Least Common Multiple of 26458 and 26466?

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 26458 and 26466 is 350118714.

LCM(26458,26466) = 350118714

LCM Calculator and
and

Least Common Multiple of 26458 and 26466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26458 and 26466, than apply into the LCM equation.

GCF(26458,26466) = 2
LCM(26458,26466) = ( 26458 × 26466) / 2
LCM(26458,26466) = 700237428 / 2
LCM(26458,26466) = 350118714

Least Common Multiple (LCM) of 26458 and 26466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26458 and 26466. First we will calculate the prime factors of 26458 and 26466.

Prime Factorization of 26458

Prime factors of 26458 are 2, 13229. Prime factorization of 26458 in exponential form is:

26458 = 21 × 132291

Prime Factorization of 26466

Prime factors of 26466 are 2, 3, 11, 401. Prime factorization of 26466 in exponential form is:

26466 = 21 × 31 × 111 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 26458 and 26466.

LCM(26458,26466) = 21 × 132291 × 31 × 111 × 4011
LCM(26458,26466) = 350118714