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What is the Least Common Multiple of 5611 and 5628?

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 5611 and 5628 is 31578708.

LCM(5611,5628) = 31578708

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Least Common Multiple of 5611 and 5628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5611 and 5628, than apply into the LCM equation.

GCF(5611,5628) = 1
LCM(5611,5628) = ( 5611 × 5628) / 1
LCM(5611,5628) = 31578708 / 1
LCM(5611,5628) = 31578708

Least Common Multiple (LCM) of 5611 and 5628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5611 and 5628. First we will calculate the prime factors of 5611 and 5628.

Prime Factorization of 5611

Prime factors of 5611 are 31, 181. Prime factorization of 5611 in exponential form is:

5611 = 311 × 1811

Prime Factorization of 5628

Prime factors of 5628 are 2, 3, 7, 67. Prime factorization of 5628 in exponential form is:

5628 = 22 × 31 × 71 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 5611 and 5628.

LCM(5611,5628) = 311 × 1811 × 22 × 31 × 71 × 671
LCM(5611,5628) = 31578708