What is the Least Common Multiple of 53012 and 53031?

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 53012 and 53031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53012 and 53031, than apply into the LCM equation.

GCF(53012,53031) = 1
LCM(53012,53031) = ( 53012 × 53031) / 1
LCM(53012,53031) = 2811279372 / 1
LCM(53012,53031) = 2811279372

Least Common Multiple (LCM) of 53012 and 53031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53012 and 53031. First we will calculate the prime factors of 53012 and 53031.

Prime Factorization of 53012

Prime Factorization of 53031

Now multiplying the highest exponent prime factors to calculate the LCM of 53012 and 53031.

LCM(53012,53031) = 2² × 29¹ × 457¹ × 3¹ × 11¹ × 1607¹
LCM(53012,53031) = 2811279372