What is the Least Common Multiple of 73174 and 73185?

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 73174 and 73185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73174 and 73185, than apply into the LCM equation.

GCF(73174,73185) = 1
LCM(73174,73185) = ( 73174 × 73185) / 1
LCM(73174,73185) = 5355239190 / 1
LCM(73174,73185) = 5355239190

Least Common Multiple (LCM) of 73174 and 73185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73174 and 73185. First we will calculate the prime factors of 73174 and 73185.

Prime Factorization of 73174

Prime Factorization of 73185

Now multiplying the highest exponent prime factors to calculate the LCM of 73174 and 73185.

LCM(73174,73185) = 2¹ × 36587¹ × 3¹ × 5¹ × 7¹ × 17¹ × 41¹
LCM(73174,73185) = 5355239190