What is the Least Common Multiple of 61175 and 61180?

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 61175 and 61180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61175 and 61180, than apply into the LCM equation.

GCF(61175,61180) = 5
LCM(61175,61180) = ( 61175 × 61180) / 5
LCM(61175,61180) = 3742686500 / 5
LCM(61175,61180) = 748537300

Least Common Multiple (LCM) of 61175 and 61180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61175 and 61180. First we will calculate the prime factors of 61175 and 61180.

Prime Factorization of 61175

Prime Factorization of 61180

Now multiplying the highest exponent prime factors to calculate the LCM of 61175 and 61180.

LCM(61175,61180) = 5² × 2447¹ × 2² × 7¹ × 19¹ × 23¹
LCM(61175,61180) = 748537300