What is the Least Common Multiple of 71253 and 71271?

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 71253 and 71271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71253 and 71271, than apply into the LCM equation.

GCF(71253,71271) = 9
LCM(71253,71271) = ( 71253 × 71271) / 9
LCM(71253,71271) = 5078272563 / 9
LCM(71253,71271) = 564252507

Least Common Multiple (LCM) of 71253 and 71271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71253 and 71271. First we will calculate the prime factors of 71253 and 71271.

Prime Factorization of 71253

Prime Factorization of 71271

Now multiplying the highest exponent prime factors to calculate the LCM of 71253 and 71271.

LCM(71253,71271) = 3³ × 7¹ × 13¹ × 29¹ × 7919¹
LCM(71253,71271) = 564252507