What is the Least Common Multiple of 71314 and 71330?

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 71314 and 71330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71314 and 71330, than apply into the LCM equation.

GCF(71314,71330) = 2
LCM(71314,71330) = ( 71314 × 71330) / 2
LCM(71314,71330) = 5086827620 / 2
LCM(71314,71330) = 2543413810

Least Common Multiple (LCM) of 71314 and 71330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71314 and 71330. First we will calculate the prime factors of 71314 and 71330.

Prime Factorization of 71314

Prime Factorization of 71330

Now multiplying the highest exponent prime factors to calculate the LCM of 71314 and 71330.

LCM(71314,71330) = 2¹ × 181¹ × 197¹ × 5¹ × 7¹ × 1019¹
LCM(71314,71330) = 2543413810