What is the Least Common Multiple of 42174 and 42180?

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 42174 and 42180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42174 and 42180, than apply into the LCM equation.

GCF(42174,42180) = 6
LCM(42174,42180) = ( 42174 × 42180) / 6
LCM(42174,42180) = 1778899320 / 6
LCM(42174,42180) = 296483220

Least Common Multiple (LCM) of 42174 and 42180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42174 and 42180. First we will calculate the prime factors of 42174 and 42180.

Prime Factorization of 42174

Prime Factorization of 42180

Now multiplying the highest exponent prime factors to calculate the LCM of 42174 and 42180.

LCM(42174,42180) = 2² × 3³ × 11¹ × 71¹ × 5¹ × 19¹ × 37¹
LCM(42174,42180) = 296483220