What is the Least Common Multiple of 55860 and 55872?

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 55860 and 55872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55860 and 55872, than apply into the LCM equation.

GCF(55860,55872) = 12
LCM(55860,55872) = ( 55860 × 55872) / 12
LCM(55860,55872) = 3121009920 / 12
LCM(55860,55872) = 260084160

Least Common Multiple (LCM) of 55860 and 55872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55860 and 55872. First we will calculate the prime factors of 55860 and 55872.

Prime Factorization of 55860

Prime Factorization of 55872

Now multiplying the highest exponent prime factors to calculate the LCM of 55860 and 55872.

LCM(55860,55872) = 2⁶ × 3² × 5¹ × 7² × 19¹ × 97¹
LCM(55860,55872) = 260084160