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What is the Least Common Multiple of 29618 and 29629?

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 29618 and 29629 is 877551722.

LCM(29618,29629) = 877551722

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Least Common Multiple of 29618 and 29629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29618 and 29629, than apply into the LCM equation.

GCF(29618,29629) = 1
LCM(29618,29629) = ( 29618 × 29629) / 1
LCM(29618,29629) = 877551722 / 1
LCM(29618,29629) = 877551722

Least Common Multiple (LCM) of 29618 and 29629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29618 and 29629. First we will calculate the prime factors of 29618 and 29629.

Prime Factorization of 29618

Prime factors of 29618 are 2, 59, 251. Prime factorization of 29618 in exponential form is:

29618 = 21 × 591 × 2511

Prime Factorization of 29629

Prime factors of 29629 are 29629. Prime factorization of 29629 in exponential form is:

29629 = 296291

Now multiplying the highest exponent prime factors to calculate the LCM of 29618 and 29629.

LCM(29618,29629) = 21 × 591 × 2511 × 296291
LCM(29618,29629) = 877551722