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What is the Least Common Multiple of 2447 and 2462?

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 2447 and 2462 is 6024514.

LCM(2447,2462) = 6024514

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Least Common Multiple of 2447 and 2462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2447 and 2462, than apply into the LCM equation.

GCF(2447,2462) = 1
LCM(2447,2462) = ( 2447 × 2462) / 1
LCM(2447,2462) = 6024514 / 1
LCM(2447,2462) = 6024514

Least Common Multiple (LCM) of 2447 and 2462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2447 and 2462. First we will calculate the prime factors of 2447 and 2462.

Prime Factorization of 2447

Prime factors of 2447 are 2447. Prime factorization of 2447 in exponential form is:

2447 = 24471

Prime Factorization of 2462

Prime factors of 2462 are 2, 1231. Prime factorization of 2462 in exponential form is:

2462 = 21 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 2447 and 2462.

LCM(2447,2462) = 24471 × 21 × 12311
LCM(2447,2462) = 6024514