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What is the Least Common Multiple of 5312 and 5324?

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 5312 and 5324 is 7070272.

LCM(5312,5324) = 7070272

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Least Common Multiple of 5312 and 5324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5312 and 5324, than apply into the LCM equation.

GCF(5312,5324) = 4
LCM(5312,5324) = ( 5312 × 5324) / 4
LCM(5312,5324) = 28281088 / 4
LCM(5312,5324) = 7070272

Least Common Multiple (LCM) of 5312 and 5324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5312 and 5324. First we will calculate the prime factors of 5312 and 5324.

Prime Factorization of 5312

Prime factors of 5312 are 2, 83. Prime factorization of 5312 in exponential form is:

5312 = 26 × 831

Prime Factorization of 5324

Prime factors of 5324 are 2, 11. Prime factorization of 5324 in exponential form is:

5324 = 22 × 113

Now multiplying the highest exponent prime factors to calculate the LCM of 5312 and 5324.

LCM(5312,5324) = 26 × 831 × 113
LCM(5312,5324) = 7070272