What is the Least Common Multiple of 55170 and 55180?

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 55170 and 55180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55170 and 55180, than apply into the LCM equation.

GCF(55170,55180) = 10
LCM(55170,55180) = ( 55170 × 55180) / 10
LCM(55170,55180) = 3044280600 / 10
LCM(55170,55180) = 304428060

Least Common Multiple (LCM) of 55170 and 55180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55170 and 55180. First we will calculate the prime factors of 55170 and 55180.

Prime Factorization of 55170

Prime Factorization of 55180

Now multiplying the highest exponent prime factors to calculate the LCM of 55170 and 55180.

LCM(55170,55180) = 2² × 3² × 5¹ × 613¹ × 31¹ × 89¹
LCM(55170,55180) = 304428060