What is the Least Common Multiple of 43175 and 43180?

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 43175 and 43180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43175 and 43180, than apply into the LCM equation.

GCF(43175,43180) = 5
LCM(43175,43180) = ( 43175 × 43180) / 5
LCM(43175,43180) = 1864296500 / 5
LCM(43175,43180) = 372859300

Least Common Multiple (LCM) of 43175 and 43180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43175 and 43180. First we will calculate the prime factors of 43175 and 43180.

Prime Factorization of 43175

Prime Factorization of 43180

Now multiplying the highest exponent prime factors to calculate the LCM of 43175 and 43180.

LCM(43175,43180) = 5² × 11¹ × 157¹ × 2² × 17¹ × 127¹
LCM(43175,43180) = 372859300