What is the Least Common Multiple of 52598 and 52616?

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 52616 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 52616, than apply into the LCM equation.

GCF(52598,52616) = 2
LCM(52598,52616) = ( 52598 × 52616) / 2
LCM(52598,52616) = 2767496368 / 2
LCM(52598,52616) = 1383748184

Least Common Multiple (LCM) of 52598 and 52616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52598 and 52616. First we will calculate the prime factors of 52598 and 52616.

Prime Factorization of 52598

Prime Factorization of 52616

Now multiplying the highest exponent prime factors to calculate the LCM of 52598 and 52616.

LCM(52598,52616) = 2³ × 7¹ × 13¹ × 17² × 6577¹
LCM(52598,52616) = 1383748184