What is the Least Common Multiple of 53319 and 53331?

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 53319 and 53331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53319 and 53331, than apply into the LCM equation.

GCF(53319,53331) = 3
LCM(53319,53331) = ( 53319 × 53331) / 3
LCM(53319,53331) = 2843555589 / 3
LCM(53319,53331) = 947851863

Least Common Multiple (LCM) of 53319 and 53331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53319 and 53331. First we will calculate the prime factors of 53319 and 53331.

Prime Factorization of 53319

Prime Factorization of 53331

Now multiplying the highest exponent prime factors to calculate the LCM of 53319 and 53331.

LCM(53319,53331) = 3¹ × 7¹ × 2539¹ × 29¹ × 613¹
LCM(53319,53331) = 947851863