What is the Least Common Multiple of 71270 and 71284?

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 71270 and 71284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71270 and 71284, than apply into the LCM equation.

GCF(71270,71284) = 2
LCM(71270,71284) = ( 71270 × 71284) / 2
LCM(71270,71284) = 5080410680 / 2
LCM(71270,71284) = 2540205340

Least Common Multiple (LCM) of 71270 and 71284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71270 and 71284. First we will calculate the prime factors of 71270 and 71284.

Prime Factorization of 71270

Prime Factorization of 71284

Now multiplying the highest exponent prime factors to calculate the LCM of 71270 and 71284.

LCM(71270,71284) = 2² × 5¹ × 7127¹ × 71¹ × 251¹
LCM(71270,71284) = 2540205340