What is the Least Common Multiple of 42168 and 42186?

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 42168 and 42186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42168 and 42186, than apply into the LCM equation.

GCF(42168,42186) = 6
LCM(42168,42186) = ( 42168 × 42186) / 6
LCM(42168,42186) = 1778899248 / 6
LCM(42168,42186) = 296483208

Least Common Multiple (LCM) of 42168 and 42186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42168 and 42186. First we will calculate the prime factors of 42168 and 42186.

Prime Factorization of 42168

Prime Factorization of 42186

Now multiplying the highest exponent prime factors to calculate the LCM of 42168 and 42186.

LCM(42168,42186) = 2³ × 3¹ × 7¹ × 251¹ × 79¹ × 89¹
LCM(42168,42186) = 296483208