What is the Least Common Multiple of 61305 and 61317?

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 61305 and 61317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61305 and 61317, than apply into the LCM equation.

GCF(61305,61317) = 3
LCM(61305,61317) = ( 61305 × 61317) / 3
LCM(61305,61317) = 3759038685 / 3
LCM(61305,61317) = 1253012895

Least Common Multiple (LCM) of 61305 and 61317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61305 and 61317. First we will calculate the prime factors of 61305 and 61317.

Prime Factorization of 61305

Prime Factorization of 61317

Now multiplying the highest exponent prime factors to calculate the LCM of 61305 and 61317.

LCM(61305,61317) = 3⁴ × 5¹ × 61¹ × 67¹ × 757¹
LCM(61305,61317) = 1253012895