What is the Least Common Multiple of 2414 and 2419?

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 2414 and 2419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2414 and 2419, than apply into the LCM equation.

GCF(2414,2419) = 1
LCM(2414,2419) = ( 2414 × 2419) / 1
LCM(2414,2419) = 5839466 / 1
LCM(2414,2419) = 5839466

Least Common Multiple (LCM) of 2414 and 2419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2414 and 2419. First we will calculate the prime factors of 2414 and 2419.

Prime Factorization of 2414

Prime Factorization of 2419

Now multiplying the highest exponent prime factors to calculate the LCM of 2414 and 2419.

LCM(2414,2419) = 2¹ × 17¹ × 71¹ × 41¹ × 59¹
LCM(2414,2419) = 5839466