What is the Least Common Multiple of 8946 and 8961?

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 8946 and 8961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8946 and 8961, than apply into the LCM equation.

GCF(8946,8961) = 3
LCM(8946,8961) = ( 8946 × 8961) / 3
LCM(8946,8961) = 80165106 / 3
LCM(8946,8961) = 26721702

Least Common Multiple (LCM) of 8946 and 8961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8946 and 8961. First we will calculate the prime factors of 8946 and 8961.

Prime Factorization of 8946

Prime Factorization of 8961

Now multiplying the highest exponent prime factors to calculate the LCM of 8946 and 8961.

LCM(8946,8961) = 2¹ × 3² × 7¹ × 71¹ × 29¹ × 103¹
LCM(8946,8961) = 26721702