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What is the Least Common Multiple of 5641 and 5659?

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 5641 and 5659 is 31922419.

LCM(5641,5659) = 31922419

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Least Common Multiple of 5641 and 5659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5641 and 5659, than apply into the LCM equation.

GCF(5641,5659) = 1
LCM(5641,5659) = ( 5641 × 5659) / 1
LCM(5641,5659) = 31922419 / 1
LCM(5641,5659) = 31922419

Least Common Multiple (LCM) of 5641 and 5659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5641 and 5659. First we will calculate the prime factors of 5641 and 5659.

Prime Factorization of 5641

Prime factors of 5641 are 5641. Prime factorization of 5641 in exponential form is:

5641 = 56411

Prime Factorization of 5659

Prime factors of 5659 are 5659. Prime factorization of 5659 in exponential form is:

5659 = 56591

Now multiplying the highest exponent prime factors to calculate the LCM of 5641 and 5659.

LCM(5641,5659) = 56411 × 56591
LCM(5641,5659) = 31922419