What is the Least Common Multiple of 52120 and 52133?

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 52120 and 52133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52120 and 52133, than apply into the LCM equation.

GCF(52120,52133) = 1
LCM(52120,52133) = ( 52120 × 52133) / 1
LCM(52120,52133) = 2717171960 / 1
LCM(52120,52133) = 2717171960

Least Common Multiple (LCM) of 52120 and 52133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52120 and 52133. First we will calculate the prime factors of 52120 and 52133.

Prime Factorization of 52120

Prime Factorization of 52133

Now multiplying the highest exponent prime factors to calculate the LCM of 52120 and 52133.

LCM(52120,52133) = 2³ × 5¹ × 1303¹ × 37¹ × 1409¹
LCM(52120,52133) = 2717171960