What is the Least Common Multiple of 58968 and 58980?

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 58968 and 58980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58968 and 58980, than apply into the LCM equation.

GCF(58968,58980) = 12
LCM(58968,58980) = ( 58968 × 58980) / 12
LCM(58968,58980) = 3477932640 / 12
LCM(58968,58980) = 289827720

Least Common Multiple (LCM) of 58968 and 58980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58968 and 58980. First we will calculate the prime factors of 58968 and 58980.

Prime Factorization of 58968

Prime Factorization of 58980

Now multiplying the highest exponent prime factors to calculate the LCM of 58968 and 58980.

LCM(58968,58980) = 2³ × 3⁴ × 7¹ × 13¹ × 5¹ × 983¹
LCM(58968,58980) = 289827720