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What is the Least Common Multiple of 10628 and 10637?

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 10628 and 10637 is 113050036.

LCM(10628,10637) = 113050036

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Least Common Multiple of 10628 and 10637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10628 and 10637, than apply into the LCM equation.

GCF(10628,10637) = 1
LCM(10628,10637) = ( 10628 × 10637) / 1
LCM(10628,10637) = 113050036 / 1
LCM(10628,10637) = 113050036

Least Common Multiple (LCM) of 10628 and 10637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10628 and 10637. First we will calculate the prime factors of 10628 and 10637.

Prime Factorization of 10628

Prime factors of 10628 are 2, 2657. Prime factorization of 10628 in exponential form is:

10628 = 22 × 26571

Prime Factorization of 10637

Prime factors of 10637 are 11, 967. Prime factorization of 10637 in exponential form is:

10637 = 111 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 10628 and 10637.

LCM(10628,10637) = 22 × 26571 × 111 × 9671
LCM(10628,10637) = 113050036