What is the Least Common Multiple of 2398 and 2402?

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 2398 and 2402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2398 and 2402, than apply into the LCM equation.

GCF(2398,2402) = 2
LCM(2398,2402) = ( 2398 × 2402) / 2
LCM(2398,2402) = 5759996 / 2
LCM(2398,2402) = 2879998

Least Common Multiple (LCM) of 2398 and 2402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2398 and 2402. First we will calculate the prime factors of 2398 and 2402.

Prime Factorization of 2398

Prime Factorization of 2402

Now multiplying the highest exponent prime factors to calculate the LCM of 2398 and 2402.

LCM(2398,2402) = 2¹ × 11¹ × 109¹ × 1201¹
LCM(2398,2402) = 2879998