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What is the Least Common Multiple of 5256 and 5274?

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 5256 and 5274 is 1540008.

LCM(5256,5274) = 1540008

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Least Common Multiple of 5256 and 5274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5256 and 5274, than apply into the LCM equation.

GCF(5256,5274) = 18
LCM(5256,5274) = ( 5256 × 5274) / 18
LCM(5256,5274) = 27720144 / 18
LCM(5256,5274) = 1540008

Least Common Multiple (LCM) of 5256 and 5274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5256 and 5274. First we will calculate the prime factors of 5256 and 5274.

Prime Factorization of 5256

Prime factors of 5256 are 2, 3, 73. Prime factorization of 5256 in exponential form is:

5256 = 23 × 32 × 731

Prime Factorization of 5274

Prime factors of 5274 are 2, 3, 293. Prime factorization of 5274 in exponential form is:

5274 = 21 × 32 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 5256 and 5274.

LCM(5256,5274) = 23 × 32 × 731 × 2931
LCM(5256,5274) = 1540008