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What is the Least Common Multiple of 5621 and 5637?

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 5621 and 5637 is 31685577.

LCM(5621,5637) = 31685577

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Least Common Multiple of 5621 and 5637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5621 and 5637, than apply into the LCM equation.

GCF(5621,5637) = 1
LCM(5621,5637) = ( 5621 × 5637) / 1
LCM(5621,5637) = 31685577 / 1
LCM(5621,5637) = 31685577

Least Common Multiple (LCM) of 5621 and 5637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5621 and 5637. First we will calculate the prime factors of 5621 and 5637.

Prime Factorization of 5621

Prime factors of 5621 are 7, 11, 73. Prime factorization of 5621 in exponential form is:

5621 = 71 × 111 × 731

Prime Factorization of 5637

Prime factors of 5637 are 3, 1879. Prime factorization of 5637 in exponential form is:

5637 = 31 × 18791

Now multiplying the highest exponent prime factors to calculate the LCM of 5621 and 5637.

LCM(5621,5637) = 71 × 111 × 731 × 31 × 18791
LCM(5621,5637) = 31685577