What is the Least Common Multiple of 60313 and 60332?

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 60313 and 60332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60313 and 60332, than apply into the LCM equation.

GCF(60313,60332) = 1
LCM(60313,60332) = ( 60313 × 60332) / 1
LCM(60313,60332) = 3638803916 / 1
LCM(60313,60332) = 3638803916

Least Common Multiple (LCM) of 60313 and 60332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60313 and 60332. First we will calculate the prime factors of 60313 and 60332.

Prime Factorization of 60313

Prime Factorization of 60332

Now multiplying the highest exponent prime factors to calculate the LCM of 60313 and 60332.

LCM(60313,60332) = 11¹ × 5483¹ × 2² × 15083¹
LCM(60313,60332) = 3638803916