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What is the Least Common Multiple of 29618 and 29635?

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 29635 is 877729430.

LCM(29618,29635) = 877729430

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Least Common Multiple of 29618 and 29635 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 29635, than apply into the LCM equation.

GCF(29618,29635) = 1
LCM(29618,29635) = ( 29618 × 29635) / 1
LCM(29618,29635) = 877729430 / 1
LCM(29618,29635) = 877729430

Least Common Multiple (LCM) of 29618 and 29635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29618 and 29635. First we will calculate the prime factors of 29618 and 29635.

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 29635

Prime factors of 29635 are 5, 5927. Prime factorization of 29635 in exponential form is:

29635 = 51 × 59271

Now multiplying the highest exponent prime factors to calculate the LCM of 29618 and 29635.

LCM(29618,29635) = 21 × 591 × 2511 × 51 × 59271
LCM(29618,29635) = 877729430