What is the Least Common Multiple of 53271 and 53291?

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 53271 and 53291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53271 and 53291, than apply into the LCM equation.

GCF(53271,53291) = 1
LCM(53271,53291) = ( 53271 × 53291) / 1
LCM(53271,53291) = 2838864861 / 1
LCM(53271,53291) = 2838864861

Least Common Multiple (LCM) of 53271 and 53291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53271 and 53291. First we will calculate the prime factors of 53271 and 53291.

Prime Factorization of 53271

Prime Factorization of 53291

Now multiplying the highest exponent prime factors to calculate the LCM of 53271 and 53291.

LCM(53271,53291) = 3³ × 1973¹ × 7¹ × 23¹ × 331¹
LCM(53271,53291) = 2838864861