What is the Least Common Multiple of 60175 and 60180?

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 60175 and 60180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60175 and 60180, than apply into the LCM equation.

GCF(60175,60180) = 5
LCM(60175,60180) = ( 60175 × 60180) / 5
LCM(60175,60180) = 3621331500 / 5
LCM(60175,60180) = 724266300

Least Common Multiple (LCM) of 60175 and 60180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60175 and 60180. First we will calculate the prime factors of 60175 and 60180.

Prime Factorization of 60175

Prime Factorization of 60180

Now multiplying the highest exponent prime factors to calculate the LCM of 60175 and 60180.

LCM(60175,60180) = 5² × 29¹ × 83¹ × 2² × 3¹ × 17¹ × 59¹
LCM(60175,60180) = 724266300