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What is the Least Common Multiple of 2440 and 2448?

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 (LCM) of 2440 and 2448 is 746640.

LCM(2440,2448) = 746640

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Least Common Multiple of 2440 and 2448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2440 and 2448, than apply into the LCM equation.

GCF(2440,2448) = 8
LCM(2440,2448) = ( 2440 × 2448) / 8
LCM(2440,2448) = 5973120 / 8
LCM(2440,2448) = 746640

Least Common Multiple (LCM) of 2440 and 2448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2440 and 2448. First we will calculate the prime factors of 2440 and 2448.

Prime Factorization of 2440

Prime factors of 2440 are 2, 5, 61. Prime factorization of 2440 in exponential form is:

2440 = 23 × 51 × 611

Prime Factorization of 2448

Prime factors of 2448 are 2, 3, 17. Prime factorization of 2448 in exponential form is:

2448 = 24 × 32 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 2440 and 2448.

LCM(2440,2448) = 24 × 51 × 611 × 32 × 171
LCM(2440,2448) = 746640