What is the Least Common Multiple of 78175 and 78184?

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 78175 and 78184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78175 and 78184, than apply into the LCM equation.

GCF(78175,78184) = 1
LCM(78175,78184) = ( 78175 × 78184) / 1
LCM(78175,78184) = 6112034200 / 1
LCM(78175,78184) = 6112034200

Least Common Multiple (LCM) of 78175 and 78184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78175 and 78184. First we will calculate the prime factors of 78175 and 78184.

Prime Factorization of 78175

Prime Factorization of 78184

Now multiplying the highest exponent prime factors to calculate the LCM of 78175 and 78184.

LCM(78175,78184) = 5² × 53¹ × 59¹ × 2³ × 29¹ × 337¹
LCM(78175,78184) = 6112034200