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What is the Least Common Multiple of 2417 and 2424?

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 2417 and 2424 is 5858808.

LCM(2417,2424) = 5858808

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Least Common Multiple of 2417 and 2424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2417 and 2424, than apply into the LCM equation.

GCF(2417,2424) = 1
LCM(2417,2424) = ( 2417 × 2424) / 1
LCM(2417,2424) = 5858808 / 1
LCM(2417,2424) = 5858808

Least Common Multiple (LCM) of 2417 and 2424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2417 and 2424. First we will calculate the prime factors of 2417 and 2424.

Prime Factorization of 2417

Prime factors of 2417 are 2417. Prime factorization of 2417 in exponential form is:

2417 = 24171

Prime Factorization of 2424

Prime factors of 2424 are 2, 3, 101. Prime factorization of 2424 in exponential form is:

2424 = 23 × 31 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 2417 and 2424.

LCM(2417,2424) = 24171 × 23 × 31 × 1011
LCM(2417,2424) = 5858808