What is the Least Common Multiple of 52506 and 52515?

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 52506 and 52515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52506 and 52515, than apply into the LCM equation.

GCF(52506,52515) = 9
LCM(52506,52515) = ( 52506 × 52515) / 9
LCM(52506,52515) = 2757352590 / 9
LCM(52506,52515) = 306372510

Least Common Multiple (LCM) of 52506 and 52515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52506 and 52515. First we will calculate the prime factors of 52506 and 52515.

Prime Factorization of 52506

Prime Factorization of 52515

Now multiplying the highest exponent prime factors to calculate the LCM of 52506 and 52515.

LCM(52506,52515) = 2¹ × 3³ × 2917¹ × 5¹ × 389¹
LCM(52506,52515) = 306372510