What is the Least Common Multiple of 27657 and 27673?

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 27657 and 27673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27657 and 27673, than apply into the LCM equation.

GCF(27657,27673) = 1
LCM(27657,27673) = ( 27657 × 27673) / 1
LCM(27657,27673) = 765352161 / 1
LCM(27657,27673) = 765352161

Least Common Multiple (LCM) of 27657 and 27673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27657 and 27673. First we will calculate the prime factors of 27657 and 27673.

Prime Factorization of 27657

Prime Factorization of 27673

Now multiplying the highest exponent prime factors to calculate the LCM of 27657 and 27673.

LCM(27657,27673) = 3² × 7¹ × 439¹ × 27673¹
LCM(27657,27673) = 765352161