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What is the Least Common Multiple of 5631 and 5642?

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 5631 and 5642 is 31770102.

LCM(5631,5642) = 31770102

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Least Common Multiple of 5631 and 5642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5631 and 5642, than apply into the LCM equation.

GCF(5631,5642) = 1
LCM(5631,5642) = ( 5631 × 5642) / 1
LCM(5631,5642) = 31770102 / 1
LCM(5631,5642) = 31770102

Least Common Multiple (LCM) of 5631 and 5642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5631 and 5642. First we will calculate the prime factors of 5631 and 5642.

Prime Factorization of 5631

Prime factors of 5631 are 3, 1877. Prime factorization of 5631 in exponential form is:

5631 = 31 × 18771

Prime Factorization of 5642

Prime factors of 5642 are 2, 7, 13, 31. Prime factorization of 5642 in exponential form is:

5642 = 21 × 71 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 5631 and 5642.

LCM(5631,5642) = 31 × 18771 × 21 × 71 × 131 × 311
LCM(5631,5642) = 31770102