GCF and LCM Calculator Logo

What is the Least Common Multiple of 26485 and 26489?

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 26485 and 26489 is 701561165.

LCM(26485,26489) = 701561165

LCM Calculator and
and

Least Common Multiple of 26485 and 26489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26485 and 26489, than apply into the LCM equation.

GCF(26485,26489) = 1
LCM(26485,26489) = ( 26485 × 26489) / 1
LCM(26485,26489) = 701561165 / 1
LCM(26485,26489) = 701561165

Least Common Multiple (LCM) of 26485 and 26489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26485 and 26489. First we will calculate the prime factors of 26485 and 26489.

Prime Factorization of 26485

Prime factors of 26485 are 5, 5297. Prime factorization of 26485 in exponential form is:

26485 = 51 × 52971

Prime Factorization of 26489

Prime factors of 26489 are 26489. Prime factorization of 26489 in exponential form is:

26489 = 264891

Now multiplying the highest exponent prime factors to calculate the LCM of 26485 and 26489.

LCM(26485,26489) = 51 × 52971 × 264891
LCM(26485,26489) = 701561165