What is the Least Common Multiple of 71302 and 71314?

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 71302 and 71314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71302 and 71314, than apply into the LCM equation.

GCF(71302,71314) = 2
LCM(71302,71314) = ( 71302 × 71314) / 2
LCM(71302,71314) = 5084830828 / 2
LCM(71302,71314) = 2542415414

Least Common Multiple (LCM) of 71302 and 71314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71302 and 71314. First we will calculate the prime factors of 71302 and 71314.

Prime Factorization of 71302

Prime Factorization of 71314

Now multiplying the highest exponent prime factors to calculate the LCM of 71302 and 71314.

LCM(71302,71314) = 2¹ × 7¹ × 11¹ × 463¹ × 181¹ × 197¹
LCM(71302,71314) = 2542415414