What is the Least Common Multiple of 52407 and 52417?

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 52407 and 52417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52407 and 52417, than apply into the LCM equation.

GCF(52407,52417) = 1
LCM(52407,52417) = ( 52407 × 52417) / 1
LCM(52407,52417) = 2747017719 / 1
LCM(52407,52417) = 2747017719

Least Common Multiple (LCM) of 52407 and 52417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52407 and 52417. First we will calculate the prime factors of 52407 and 52417.

Prime Factorization of 52407

Prime Factorization of 52417

Now multiplying the highest exponent prime factors to calculate the LCM of 52407 and 52417.

LCM(52407,52417) = 3⁴ × 647¹ × 23¹ × 43¹ × 53¹
LCM(52407,52417) = 2747017719