What is the Least Common Multiple of 73174 and 73178?

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 73178 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 73178, than apply into the LCM equation.

GCF(73174,73178) = 2
LCM(73174,73178) = ( 73174 × 73178) / 2
LCM(73174,73178) = 5354726972 / 2
LCM(73174,73178) = 2677363486

Least Common Multiple (LCM) of 73174 and 73178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73174 and 73178. First we will calculate the prime factors of 73174 and 73178.

Prime Factorization of 73174

Prime Factorization of 73178

Now multiplying the highest exponent prime factors to calculate the LCM of 73174 and 73178.

LCM(73174,73178) = 2¹ × 36587¹ × 7¹ × 5227¹
LCM(73174,73178) = 2677363486