What is the Least Common Multiple of 57946 and 57958?

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 57946 and 57958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57946 and 57958, than apply into the LCM equation.

GCF(57946,57958) = 2
LCM(57946,57958) = ( 57946 × 57958) / 2
LCM(57946,57958) = 3358434268 / 2
LCM(57946,57958) = 1679217134

Least Common Multiple (LCM) of 57946 and 57958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57946 and 57958. First we will calculate the prime factors of 57946 and 57958.

Prime Factorization of 57946

Prime Factorization of 57958

Now multiplying the highest exponent prime factors to calculate the LCM of 57946 and 57958.

LCM(57946,57958) = 2¹ × 7¹ × 4139¹ × 28979¹
LCM(57946,57958) = 1679217134