What is the Least Common Multiple of 27575 and 27581?

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 27575 and 27581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27575 and 27581, than apply into the LCM equation.

GCF(27575,27581) = 1
LCM(27575,27581) = ( 27575 × 27581) / 1
LCM(27575,27581) = 760546075 / 1
LCM(27575,27581) = 760546075

Least Common Multiple (LCM) of 27575 and 27581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27575 and 27581. First we will calculate the prime factors of 27575 and 27581.

Prime Factorization of 27575

Prime Factorization of 27581

Now multiplying the highest exponent prime factors to calculate the LCM of 27575 and 27581.

LCM(27575,27581) = 5² × 1103¹ × 27581¹
LCM(27575,27581) = 760546075