GCF and LCM Calculator Logo

What is the Least Common Multiple of 8961 and 8981?

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 8961 and 8981 is 80478741.

LCM(8961,8981) = 80478741

LCM Calculator and
and

Least Common Multiple of 8961 and 8981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8961 and 8981, than apply into the LCM equation.

GCF(8961,8981) = 1
LCM(8961,8981) = ( 8961 × 8981) / 1
LCM(8961,8981) = 80478741 / 1
LCM(8961,8981) = 80478741

Least Common Multiple (LCM) of 8961 and 8981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8961 and 8981. First we will calculate the prime factors of 8961 and 8981.

Prime Factorization of 8961

Prime factors of 8961 are 3, 29, 103. Prime factorization of 8961 in exponential form is:

8961 = 31 × 291 × 1031

Prime Factorization of 8981

Prime factors of 8981 are 7, 1283. Prime factorization of 8981 in exponential form is:

8981 = 71 × 12831

Now multiplying the highest exponent prime factors to calculate the LCM of 8961 and 8981.

LCM(8961,8981) = 31 × 291 × 1031 × 71 × 12831
LCM(8961,8981) = 80478741