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What is the Least Common Multiple of 5272 and 5288?

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 5272 and 5288 is 3484792.

LCM(5272,5288) = 3484792

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Least Common Multiple of 5272 and 5288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5272 and 5288, than apply into the LCM equation.

GCF(5272,5288) = 8
LCM(5272,5288) = ( 5272 × 5288) / 8
LCM(5272,5288) = 27878336 / 8
LCM(5272,5288) = 3484792

Least Common Multiple (LCM) of 5272 and 5288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5272 and 5288. First we will calculate the prime factors of 5272 and 5288.

Prime Factorization of 5272

Prime factors of 5272 are 2, 659. Prime factorization of 5272 in exponential form is:

5272 = 23 × 6591

Prime Factorization of 5288

Prime factors of 5288 are 2, 661. Prime factorization of 5288 in exponential form is:

5288 = 23 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 5272 and 5288.

LCM(5272,5288) = 23 × 6591 × 6611
LCM(5272,5288) = 3484792