What is the Least Common Multiple of 2442 and 2449?

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 2442 and 2449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2442 and 2449, than apply into the LCM equation.

GCF(2442,2449) = 1
LCM(2442,2449) = ( 2442 × 2449) / 1
LCM(2442,2449) = 5980458 / 1
LCM(2442,2449) = 5980458

Least Common Multiple (LCM) of 2442 and 2449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2442 and 2449. First we will calculate the prime factors of 2442 and 2449.

Prime Factorization of 2442

Prime Factorization of 2449

Now multiplying the highest exponent prime factors to calculate the LCM of 2442 and 2449.

LCM(2442,2449) = 2¹ × 3¹ × 11¹ × 37¹ × 31¹ × 79¹
LCM(2442,2449) = 5980458