What is the Least Common Multiple of 52313 and 52328?

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 52313 and 52328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52313 and 52328, than apply into the LCM equation.

GCF(52313,52328) = 1
LCM(52313,52328) = ( 52313 × 52328) / 1
LCM(52313,52328) = 2737434664 / 1
LCM(52313,52328) = 2737434664

Least Common Multiple (LCM) of 52313 and 52328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52313 and 52328. First we will calculate the prime factors of 52313 and 52328.

Prime Factorization of 52313

Prime Factorization of 52328

Now multiplying the highest exponent prime factors to calculate the LCM of 52313 and 52328.

LCM(52313,52328) = 52313¹ × 2³ × 31¹ × 211¹
LCM(52313,52328) = 2737434664