What is the Least Common Multiple of 42174 and 42185?

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 42185 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 42185, than apply into the LCM equation.

GCF(42174,42185) = 11
LCM(42174,42185) = ( 42174 × 42185) / 11
LCM(42174,42185) = 1779110190 / 11
LCM(42174,42185) = 161737290

Least Common Multiple (LCM) of 42174 and 42185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42174 and 42185. First we will calculate the prime factors of 42174 and 42185.

Prime Factorization of 42174

Prime Factorization of 42185

Now multiplying the highest exponent prime factors to calculate the LCM of 42174 and 42185.

LCM(42174,42185) = 2¹ × 3³ × 11¹ × 71¹ × 5¹ × 13¹ × 59¹
LCM(42174,42185) = 161737290