What is the Least Common Multiple of 71268 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 71268 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 71268 and 71274, than apply into the LCM equation.

GCF(71268,71274) = 6
LCM(71268,71274) = ( 71268 × 71274) / 6
LCM(71268,71274) = 5079555432 / 6
LCM(71268,71274) = 846592572

Least Common Multiple (LCM) of 71268 and 71274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71268 and 71274. First we will calculate the prime factors of 71268 and 71274.

Prime Factorization of 71268

Prime Factorization of 71274

Now multiplying the highest exponent prime factors to calculate the LCM of 71268 and 71274.

LCM(71268,71274) = 2² × 3¹ × 5939¹ × 7¹ × 1697¹
LCM(71268,71274) = 846592572