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What is the Least Common Multiple of 5618 and 5629?

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 5618 and 5629 is 31623722.

LCM(5618,5629) = 31623722

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Least Common Multiple of 5618 and 5629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5618 and 5629, than apply into the LCM equation.

GCF(5618,5629) = 1
LCM(5618,5629) = ( 5618 × 5629) / 1
LCM(5618,5629) = 31623722 / 1
LCM(5618,5629) = 31623722

Least Common Multiple (LCM) of 5618 and 5629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5618 and 5629. First we will calculate the prime factors of 5618 and 5629.

Prime Factorization of 5618

Prime factors of 5618 are 2, 53. Prime factorization of 5618 in exponential form is:

5618 = 21 × 532

Prime Factorization of 5629

Prime factors of 5629 are 13, 433. Prime factorization of 5629 in exponential form is:

5629 = 131 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 5618 and 5629.

LCM(5618,5629) = 21 × 532 × 131 × 4331
LCM(5618,5629) = 31623722