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What is the Least Common Multiple of 2440 and 2452?

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 2452 is 1495720.

LCM(2440,2452) = 1495720

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Least Common Multiple of 2440 and 2452 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 2452, than apply into the LCM equation.

GCF(2440,2452) = 4
LCM(2440,2452) = ( 2440 × 2452) / 4
LCM(2440,2452) = 5982880 / 4
LCM(2440,2452) = 1495720

Least Common Multiple (LCM) of 2440 and 2452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2440 and 2452. First we will calculate the prime factors of 2440 and 2452.

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 2452

Prime factors of 2452 are 2, 613. Prime factorization of 2452 in exponential form is:

2452 = 22 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 2440 and 2452.

LCM(2440,2452) = 23 × 51 × 611 × 6131
LCM(2440,2452) = 1495720