What is the Least Common Multiple of 58956 and 58968?

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 58956 and 58968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58956 and 58968, than apply into the LCM equation.

GCF(58956,58968) = 12
LCM(58956,58968) = ( 58956 × 58968) / 12
LCM(58956,58968) = 3476517408 / 12
LCM(58956,58968) = 289709784

Least Common Multiple (LCM) of 58956 and 58968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58956 and 58968. First we will calculate the prime factors of 58956 and 58968.

Prime Factorization of 58956

Prime Factorization of 58968

Now multiplying the highest exponent prime factors to calculate the LCM of 58956 and 58968.

LCM(58956,58968) = 2³ × 3⁴ × 17³ × 7¹ × 13¹
LCM(58956,58968) = 289709784