GCF and LCM Calculator Logo

What is the Least Common Multiple of 8727 and 8743?

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 8727 and 8743 is 76300161.

LCM(8727,8743) = 76300161

LCM Calculator and
and

Least Common Multiple of 8727 and 8743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8727 and 8743, than apply into the LCM equation.

GCF(8727,8743) = 1
LCM(8727,8743) = ( 8727 × 8743) / 1
LCM(8727,8743) = 76300161 / 1
LCM(8727,8743) = 76300161

Least Common Multiple (LCM) of 8727 and 8743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8727 and 8743. First we will calculate the prime factors of 8727 and 8743.

Prime Factorization of 8727

Prime factors of 8727 are 3, 2909. Prime factorization of 8727 in exponential form is:

8727 = 31 × 29091

Prime Factorization of 8743

Prime factors of 8743 are 7, 1249. Prime factorization of 8743 in exponential form is:

8743 = 71 × 12491

Now multiplying the highest exponent prime factors to calculate the LCM of 8727 and 8743.

LCM(8727,8743) = 31 × 29091 × 71 × 12491
LCM(8727,8743) = 76300161