What is the Least Common Multiple of 71282 and 71302?

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 71282 and 71302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71282 and 71302, than apply into the LCM equation.

GCF(71282,71302) = 2
LCM(71282,71302) = ( 71282 × 71302) / 2
LCM(71282,71302) = 5082549164 / 2
LCM(71282,71302) = 2541274582

Least Common Multiple (LCM) of 71282 and 71302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71282 and 71302. First we will calculate the prime factors of 71282 and 71302.

Prime Factorization of 71282

Prime Factorization of 71302

Now multiplying the highest exponent prime factors to calculate the LCM of 71282 and 71302.

LCM(71282,71302) = 2¹ × 29¹ × 1229¹ × 7¹ × 11¹ × 463¹
LCM(71282,71302) = 2541274582