What is the Least Common Multiple of 73174 and 73181?

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 73181 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 73181, than apply into the LCM equation.

GCF(73174,73181) = 1
LCM(73174,73181) = ( 73174 × 73181) / 1
LCM(73174,73181) = 5354946494 / 1
LCM(73174,73181) = 5354946494

Least Common Multiple (LCM) of 73174 and 73181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73174 and 73181. First we will calculate the prime factors of 73174 and 73181.

Prime Factorization of 73174

Prime Factorization of 73181

Now multiplying the highest exponent prime factors to calculate the LCM of 73174 and 73181.

LCM(73174,73181) = 2¹ × 36587¹ × 73181¹
LCM(73174,73181) = 5354946494