What is the Least Common Multiple of 28946 and 28961?

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 28946 and 28961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28946 and 28961, than apply into the LCM equation.

GCF(28946,28961) = 1
LCM(28946,28961) = ( 28946 × 28961) / 1
LCM(28946,28961) = 838305106 / 1
LCM(28946,28961) = 838305106

Least Common Multiple (LCM) of 28946 and 28961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28946 and 28961. First we will calculate the prime factors of 28946 and 28961.

Prime Factorization of 28946

Prime Factorization of 28961

Now multiplying the highest exponent prime factors to calculate the LCM of 28946 and 28961.

LCM(28946,28961) = 2¹ × 41¹ × 353¹ × 28961¹
LCM(28946,28961) = 838305106