What is the Least Common Multiple of 2448 and 2457?

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 2448 and 2457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2448 and 2457, than apply into the LCM equation.

GCF(2448,2457) = 9
LCM(2448,2457) = ( 2448 × 2457) / 9
LCM(2448,2457) = 6014736 / 9
LCM(2448,2457) = 668304

Least Common Multiple (LCM) of 2448 and 2457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2448 and 2457. First we will calculate the prime factors of 2448 and 2457.

Prime Factorization of 2448

Prime Factorization of 2457

Now multiplying the highest exponent prime factors to calculate the LCM of 2448 and 2457.

LCM(2448,2457) = 2⁴ × 3³ × 17¹ × 7¹ × 13¹
LCM(2448,2457) = 668304