What is the Least Common Multiple of 78165 and 78175?

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 78165 and 78175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78165 and 78175, than apply into the LCM equation.

GCF(78165,78175) = 5
LCM(78165,78175) = ( 78165 × 78175) / 5
LCM(78165,78175) = 6110548875 / 5
LCM(78165,78175) = 1222109775

Least Common Multiple (LCM) of 78165 and 78175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78165 and 78175. First we will calculate the prime factors of 78165 and 78175.

Prime Factorization of 78165

Prime Factorization of 78175

Now multiplying the highest exponent prime factors to calculate the LCM of 78165 and 78175.

LCM(78165,78175) = 3⁴ × 5² × 193¹ × 53¹ × 59¹
LCM(78165,78175) = 1222109775