What is the Least Common Multiple of 71174 and 71178?

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 71174 and 71178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71174 and 71178, than apply into the LCM equation.

GCF(71174,71178) = 2
LCM(71174,71178) = ( 71174 × 71178) / 2
LCM(71174,71178) = 5066022972 / 2
LCM(71174,71178) = 2533011486

Least Common Multiple (LCM) of 71174 and 71178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71174 and 71178. First we will calculate the prime factors of 71174 and 71178.

Prime Factorization of 71174

Prime Factorization of 71178

Now multiplying the highest exponent prime factors to calculate the LCM of 71174 and 71178.

LCM(71174,71178) = 2¹ × 19¹ × 1873¹ × 3¹ × 11863¹
LCM(71174,71178) = 2533011486