What is the Least Common Multiple of 55180 and 55185?

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 55180 and 55185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55180 and 55185, than apply into the LCM equation.

GCF(55180,55185) = 5
LCM(55180,55185) = ( 55180 × 55185) / 5
LCM(55180,55185) = 3045108300 / 5
LCM(55180,55185) = 609021660

Least Common Multiple (LCM) of 55180 and 55185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55180 and 55185. First we will calculate the prime factors of 55180 and 55185.

Prime Factorization of 55180

Prime Factorization of 55185

Now multiplying the highest exponent prime factors to calculate the LCM of 55180 and 55185.

LCM(55180,55185) = 2² × 5¹ × 31¹ × 89¹ × 3¹ × 13¹ × 283¹
LCM(55180,55185) = 609021660