What is the Least Common Multiple of 61313 and 61327?

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 61327 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 61327, than apply into the LCM equation.

GCF(61313,61327) = 7
LCM(61313,61327) = ( 61313 × 61327) / 7
LCM(61313,61327) = 3760142351 / 7
LCM(61313,61327) = 537163193

Least Common Multiple (LCM) of 61313 and 61327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61313 and 61327. First we will calculate the prime factors of 61313 and 61327.

Prime Factorization of 61313

Prime Factorization of 61327

Now multiplying the highest exponent prime factors to calculate the LCM of 61313 and 61327.

LCM(61313,61327) = 7¹ × 19¹ × 461¹ × 8761¹
LCM(61313,61327) = 537163193