What is the Least Common Multiple of 26575 and 26588?

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 of 26575 and 26588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26575 and 26588, than apply into the LCM equation.

GCF(26575,26588) = 1
LCM(26575,26588) = ( 26575 × 26588) / 1
LCM(26575,26588) = 706576100 / 1
LCM(26575,26588) = 706576100

Least Common Multiple (LCM) of 26575 and 26588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26575 and 26588. First we will calculate the prime factors of 26575 and 26588.

Prime Factorization of 26575

Prime Factorization of 26588

Now multiplying the highest exponent prime factors to calculate the LCM of 26575 and 26588.

LCM(26575,26588) = 5² × 1063¹ × 2² × 17² × 23¹
LCM(26575,26588) = 706576100