What is the Least Common Multiple of 55980 and 55999?

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 55980 and 55999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55980 and 55999, than apply into the LCM equation.

GCF(55980,55999) = 1
LCM(55980,55999) = ( 55980 × 55999) / 1
LCM(55980,55999) = 3134824020 / 1
LCM(55980,55999) = 3134824020

Least Common Multiple (LCM) of 55980 and 55999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55980 and 55999. First we will calculate the prime factors of 55980 and 55999.

Prime Factorization of 55980

Prime Factorization of 55999

Now multiplying the highest exponent prime factors to calculate the LCM of 55980 and 55999.

LCM(55980,55999) = 2² × 3² × 5¹ × 311¹ × 29¹ × 1931¹
LCM(55980,55999) = 3134824020