What is the Least Common Multiple of 60313 and 60321?

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 60321 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 60321, than apply into the LCM equation.

GCF(60313,60321) = 1
LCM(60313,60321) = ( 60313 × 60321) / 1
LCM(60313,60321) = 3638140473 / 1
LCM(60313,60321) = 3638140473

Least Common Multiple (LCM) of 60313 and 60321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60313 and 60321. First we will calculate the prime factors of 60313 and 60321.

Prime Factorization of 60313

Prime Factorization of 60321

Now multiplying the highest exponent prime factors to calculate the LCM of 60313 and 60321.

LCM(60313,60321) = 11¹ × 5483¹ × 3¹ × 20107¹
LCM(60313,60321) = 3638140473