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What is the Least Common Multiple of 5374 and 5391?

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 5374 and 5391 is 28971234.

LCM(5374,5391) = 28971234

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Least Common Multiple of 5374 and 5391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5374 and 5391, than apply into the LCM equation.

GCF(5374,5391) = 1
LCM(5374,5391) = ( 5374 × 5391) / 1
LCM(5374,5391) = 28971234 / 1
LCM(5374,5391) = 28971234

Least Common Multiple (LCM) of 5374 and 5391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5374 and 5391. First we will calculate the prime factors of 5374 and 5391.

Prime Factorization of 5374

Prime factors of 5374 are 2, 2687. Prime factorization of 5374 in exponential form is:

5374 = 21 × 26871

Prime Factorization of 5391

Prime factors of 5391 are 3, 599. Prime factorization of 5391 in exponential form is:

5391 = 32 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 5374 and 5391.

LCM(5374,5391) = 21 × 26871 × 32 × 5991
LCM(5374,5391) = 28971234