What is the Least Common Multiple of 52505 and 52524?

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 52505 and 52524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52505 and 52524, than apply into the LCM equation.

GCF(52505,52524) = 1
LCM(52505,52524) = ( 52505 × 52524) / 1
LCM(52505,52524) = 2757772620 / 1
LCM(52505,52524) = 2757772620

Least Common Multiple (LCM) of 52505 and 52524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52505 and 52524. First we will calculate the prime factors of 52505 and 52524.

Prime Factorization of 52505

Prime Factorization of 52524

Now multiplying the highest exponent prime factors to calculate the LCM of 52505 and 52524.

LCM(52505,52524) = 5¹ × 10501¹ × 2² × 3² × 1459¹
LCM(52505,52524) = 2757772620