What is the Least Common Multiple of 58860 and 58872?

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 58860 and 58872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58860 and 58872, than apply into the LCM equation.

GCF(58860,58872) = 12
LCM(58860,58872) = ( 58860 × 58872) / 12
LCM(58860,58872) = 3465205920 / 12
LCM(58860,58872) = 288767160

Least Common Multiple (LCM) of 58860 and 58872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58860 and 58872. First we will calculate the prime factors of 58860 and 58872.

Prime Factorization of 58860

Prime Factorization of 58872

Now multiplying the highest exponent prime factors to calculate the LCM of 58860 and 58872.

LCM(58860,58872) = 2³ × 3³ × 5¹ × 109¹ × 11¹ × 223¹
LCM(58860,58872) = 288767160