What is the Least Common Multiple of 42384 and 42398?

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 42384 and 42398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42384 and 42398, than apply into the LCM equation.

GCF(42384,42398) = 2
LCM(42384,42398) = ( 42384 × 42398) / 2
LCM(42384,42398) = 1796996832 / 2
LCM(42384,42398) = 898498416

Least Common Multiple (LCM) of 42384 and 42398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42384 and 42398. First we will calculate the prime factors of 42384 and 42398.

Prime Factorization of 42384

Prime Factorization of 42398

Now multiplying the highest exponent prime factors to calculate the LCM of 42384 and 42398.

LCM(42384,42398) = 2⁴ × 3¹ × 883¹ × 17¹ × 29¹ × 43¹
LCM(42384,42398) = 898498416