What is the Least Common Multiple of 42399 and 42417?

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 42399 and 42417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42399 and 42417, than apply into the LCM equation.

GCF(42399,42417) = 9
LCM(42399,42417) = ( 42399 × 42417) / 9
LCM(42399,42417) = 1798438383 / 9
LCM(42399,42417) = 199826487

Least Common Multiple (LCM) of 42399 and 42417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42399 and 42417. First we will calculate the prime factors of 42399 and 42417.

Prime Factorization of 42399

Prime Factorization of 42417

Now multiplying the highest exponent prime factors to calculate the LCM of 42399 and 42417.

LCM(42399,42417) = 3³ × 7¹ × 673¹ × 1571¹
LCM(42399,42417) = 199826487