What is the Least Common Multiple of 61306 and 61313?

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 61306 and 61313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61306 and 61313, than apply into the LCM equation.

GCF(61306,61313) = 7
LCM(61306,61313) = ( 61306 × 61313) / 7
LCM(61306,61313) = 3758854778 / 7
LCM(61306,61313) = 536979254

Least Common Multiple (LCM) of 61306 and 61313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61306 and 61313. First we will calculate the prime factors of 61306 and 61313.

Prime Factorization of 61306

Prime Factorization of 61313

Now multiplying the highest exponent prime factors to calculate the LCM of 61306 and 61313.

LCM(61306,61313) = 2¹ × 7¹ × 29¹ × 151¹ × 19¹ × 461¹
LCM(61306,61313) = 536979254