What is the Least Common Multiple of 28945 and 28958?

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 28945 and 28958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28945 and 28958, than apply into the LCM equation.

GCF(28945,28958) = 1
LCM(28945,28958) = ( 28945 × 28958) / 1
LCM(28945,28958) = 838189310 / 1
LCM(28945,28958) = 838189310

Least Common Multiple (LCM) of 28945 and 28958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28945 and 28958. First we will calculate the prime factors of 28945 and 28958.

Prime Factorization of 28945

Prime Factorization of 28958

Now multiplying the highest exponent prime factors to calculate the LCM of 28945 and 28958.

LCM(28945,28958) = 5¹ × 7¹ × 827¹ × 2¹ × 14479¹
LCM(28945,28958) = 838189310