What is the Least Common Multiple of 52305 and 52325?

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 52305 and 52325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52305 and 52325, than apply into the LCM equation.

GCF(52305,52325) = 5
LCM(52305,52325) = ( 52305 × 52325) / 5
LCM(52305,52325) = 2736859125 / 5
LCM(52305,52325) = 547371825

Least Common Multiple (LCM) of 52305 and 52325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52305 and 52325. First we will calculate the prime factors of 52305 and 52325.

Prime Factorization of 52305

Prime Factorization of 52325

Now multiplying the highest exponent prime factors to calculate the LCM of 52305 and 52325.

LCM(52305,52325) = 3¹ × 5² × 11¹ × 317¹ × 7¹ × 13¹ × 23¹
LCM(52305,52325) = 547371825