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What is the Least Common Multiple of 2407 and 2411?

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 2407 and 2411 is 5803277.

LCM(2407,2411) = 5803277

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Least Common Multiple of 2407 and 2411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2407 and 2411, than apply into the LCM equation.

GCF(2407,2411) = 1
LCM(2407,2411) = ( 2407 × 2411) / 1
LCM(2407,2411) = 5803277 / 1
LCM(2407,2411) = 5803277

Least Common Multiple (LCM) of 2407 and 2411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2407 and 2411. First we will calculate the prime factors of 2407 and 2411.

Prime Factorization of 2407

Prime factors of 2407 are 29, 83. Prime factorization of 2407 in exponential form is:

2407 = 291 × 831

Prime Factorization of 2411

Prime factors of 2411 are 2411. Prime factorization of 2411 in exponential form is:

2411 = 24111

Now multiplying the highest exponent prime factors to calculate the LCM of 2407 and 2411.

LCM(2407,2411) = 291 × 831 × 24111
LCM(2407,2411) = 5803277