What is the Least Common Multiple of 57171 and 57180?

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 57171 and 57180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57171 and 57180, than apply into the LCM equation.

GCF(57171,57180) = 3
LCM(57171,57180) = ( 57171 × 57180) / 3
LCM(57171,57180) = 3269037780 / 3
LCM(57171,57180) = 1089679260

Least Common Multiple (LCM) of 57171 and 57180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57171 and 57180. First we will calculate the prime factors of 57171 and 57180.

Prime Factorization of 57171

Prime Factorization of 57180

Now multiplying the highest exponent prime factors to calculate the LCM of 57171 and 57180.

LCM(57171,57180) = 3¹ × 17¹ × 19¹ × 59¹ × 2² × 5¹ × 953¹
LCM(57171,57180) = 1089679260