What is the Least Common Multiple of 61313 and 61333?

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 61313 and 61333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61313 and 61333, than apply into the LCM equation.

GCF(61313,61333) = 1
LCM(61313,61333) = ( 61313 × 61333) / 1
LCM(61313,61333) = 3760510229 / 1
LCM(61313,61333) = 3760510229

Least Common Multiple (LCM) of 61313 and 61333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61313 and 61333. First we will calculate the prime factors of 61313 and 61333.

Prime Factorization of 61313

Prime Factorization of 61333

Now multiplying the highest exponent prime factors to calculate the LCM of 61313 and 61333.

LCM(61313,61333) = 7¹ × 19¹ × 461¹ × 61333¹
LCM(61313,61333) = 3760510229