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What is the Least Common Multiple of 5672 and 5679?

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 5672 and 5679 is 32211288.

LCM(5672,5679) = 32211288

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Least Common Multiple of 5672 and 5679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5672 and 5679, than apply into the LCM equation.

GCF(5672,5679) = 1
LCM(5672,5679) = ( 5672 × 5679) / 1
LCM(5672,5679) = 32211288 / 1
LCM(5672,5679) = 32211288

Least Common Multiple (LCM) of 5672 and 5679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5672 and 5679. First we will calculate the prime factors of 5672 and 5679.

Prime Factorization of 5672

Prime factors of 5672 are 2, 709. Prime factorization of 5672 in exponential form is:

5672 = 23 × 7091

Prime Factorization of 5679

Prime factors of 5679 are 3, 631. Prime factorization of 5679 in exponential form is:

5679 = 32 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 5672 and 5679.

LCM(5672,5679) = 23 × 7091 × 32 × 6311
LCM(5672,5679) = 32211288