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What is the Least Common Multiple of 18628 and 18637?

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 18628 and 18637 is 347170036.

LCM(18628,18637) = 347170036

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Least Common Multiple of 18628 and 18637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18628 and 18637, than apply into the LCM equation.

GCF(18628,18637) = 1
LCM(18628,18637) = ( 18628 × 18637) / 1
LCM(18628,18637) = 347170036 / 1
LCM(18628,18637) = 347170036

Least Common Multiple (LCM) of 18628 and 18637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18628 and 18637. First we will calculate the prime factors of 18628 and 18637.

Prime Factorization of 18628

Prime factors of 18628 are 2, 4657. Prime factorization of 18628 in exponential form is:

18628 = 22 × 46571

Prime Factorization of 18637

Prime factors of 18637 are 18637. Prime factorization of 18637 in exponential form is:

18637 = 186371

Now multiplying the highest exponent prime factors to calculate the LCM of 18628 and 18637.

LCM(18628,18637) = 22 × 46571 × 186371
LCM(18628,18637) = 347170036