What is the Least Common Multiple of 42180 and 42189?

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 42180 and 42189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42180 and 42189, than apply into the LCM equation.

GCF(42180,42189) = 3
LCM(42180,42189) = ( 42180 × 42189) / 3
LCM(42180,42189) = 1779532020 / 3
LCM(42180,42189) = 593177340

Least Common Multiple (LCM) of 42180 and 42189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42180 and 42189. First we will calculate the prime factors of 42180 and 42189.

Prime Factorization of 42180

Prime Factorization of 42189

Now multiplying the highest exponent prime factors to calculate the LCM of 42180 and 42189.

LCM(42180,42189) = 2² × 3¹ × 5¹ × 19¹ × 37¹ × 7³ × 41¹
LCM(42180,42189) = 593177340