What is the Least Common Multiple of 61305 and 61321?

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 61321 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 61321, than apply into the LCM equation.

GCF(61305,61321) = 1
LCM(61305,61321) = ( 61305 × 61321) / 1
LCM(61305,61321) = 3759283905 / 1
LCM(61305,61321) = 3759283905

Least Common Multiple (LCM) of 61305 and 61321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61305 and 61321. First we will calculate the prime factors of 61305 and 61321.

Prime Factorization of 61305

Prime Factorization of 61321

Now multiplying the highest exponent prime factors to calculate the LCM of 61305 and 61321.

LCM(61305,61321) = 3¹ × 5¹ × 61¹ × 67¹ × 13¹ × 53¹ × 89¹
LCM(61305,61321) = 3759283905