What is the Least Common Multiple of 52598 and 52615?

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 52598 and 52615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52598 and 52615, than apply into the LCM equation.

GCF(52598,52615) = 17
LCM(52598,52615) = ( 52598 × 52615) / 17
LCM(52598,52615) = 2767443770 / 17
LCM(52598,52615) = 162790810

Least Common Multiple (LCM) of 52598 and 52615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52598 and 52615. First we will calculate the prime factors of 52598 and 52615.

Prime Factorization of 52598

Prime Factorization of 52615

Now multiplying the highest exponent prime factors to calculate the LCM of 52598 and 52615.

LCM(52598,52615) = 2¹ × 7¹ × 13¹ × 17² × 5¹ × 619¹
LCM(52598,52615) = 162790810