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What is the Least Common Multiple of 5774 and 5787?

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 5774 and 5787 is 33414138.

LCM(5774,5787) = 33414138

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Least Common Multiple of 5774 and 5787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5774 and 5787, than apply into the LCM equation.

GCF(5774,5787) = 1
LCM(5774,5787) = ( 5774 × 5787) / 1
LCM(5774,5787) = 33414138 / 1
LCM(5774,5787) = 33414138

Least Common Multiple (LCM) of 5774 and 5787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5774 and 5787. First we will calculate the prime factors of 5774 and 5787.

Prime Factorization of 5774

Prime factors of 5774 are 2, 2887. Prime factorization of 5774 in exponential form is:

5774 = 21 × 28871

Prime Factorization of 5787

Prime factors of 5787 are 3, 643. Prime factorization of 5787 in exponential form is:

5787 = 32 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 5774 and 5787.

LCM(5774,5787) = 21 × 28871 × 32 × 6431
LCM(5774,5787) = 33414138