What is the Least Common Multiple of 60301 and 60311?

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 60301 and 60311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60301 and 60311, than apply into the LCM equation.

GCF(60301,60311) = 1
LCM(60301,60311) = ( 60301 × 60311) / 1
LCM(60301,60311) = 3636813611 / 1
LCM(60301,60311) = 3636813611

Least Common Multiple (LCM) of 60301 and 60311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60301 and 60311. First we will calculate the prime factors of 60301 and 60311.

Prime Factorization of 60301

Prime Factorization of 60311

Now multiplying the highest exponent prime factors to calculate the LCM of 60301 and 60311.

LCM(60301,60311) = 47¹ × 1283¹ × 41¹ × 1471¹
LCM(60301,60311) = 3636813611