What is the Least Common Multiple of 71269 and 71274?

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 71269 and 71274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71269 and 71274, than apply into the LCM equation.

GCF(71269,71274) = 1
LCM(71269,71274) = ( 71269 × 71274) / 1
LCM(71269,71274) = 5079626706 / 1
LCM(71269,71274) = 5079626706

Least Common Multiple (LCM) of 71269 and 71274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71269 and 71274. First we will calculate the prime factors of 71269 and 71274.

Prime Factorization of 71269

Prime Factorization of 71274

Now multiplying the highest exponent prime factors to calculate the LCM of 71269 and 71274.

LCM(71269,71274) = 11² × 19¹ × 31¹ × 2¹ × 3¹ × 7¹ × 1697¹
LCM(71269,71274) = 5079626706