What is the Least Common Multiple of 71312 and 71316?

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 71312 and 71316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71312 and 71316, than apply into the LCM equation.

GCF(71312,71316) = 4
LCM(71312,71316) = ( 71312 × 71316) / 4
LCM(71312,71316) = 5085686592 / 4
LCM(71312,71316) = 1271421648

Least Common Multiple (LCM) of 71312 and 71316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71312 and 71316. First we will calculate the prime factors of 71312 and 71316.

Prime Factorization of 71312

Prime Factorization of 71316

Now multiplying the highest exponent prime factors to calculate the LCM of 71312 and 71316.

LCM(71312,71316) = 2⁴ × 4457¹ × 3² × 7¹ × 283¹
LCM(71312,71316) = 1271421648