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What is the Least Common Multiple of 93618 and 93635?

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 93618 and 93635 is 8765921430.

LCM(93618,93635) = 8765921430

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Least Common Multiple of 93618 and 93635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93618 and 93635, than apply into the LCM equation.

GCF(93618,93635) = 1
LCM(93618,93635) = ( 93618 × 93635) / 1
LCM(93618,93635) = 8765921430 / 1
LCM(93618,93635) = 8765921430

Least Common Multiple (LCM) of 93618 and 93635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93618 and 93635. First we will calculate the prime factors of 93618 and 93635.

Prime Factorization of 93618

Prime factors of 93618 are 2, 3, 7, 743. Prime factorization of 93618 in exponential form is:

93618 = 21 × 32 × 71 × 7431

Prime Factorization of 93635

Prime factors of 93635 are 5, 61, 307. Prime factorization of 93635 in exponential form is:

93635 = 51 × 611 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 93618 and 93635.

LCM(93618,93635) = 21 × 32 × 71 × 7431 × 51 × 611 × 3071
LCM(93618,93635) = 8765921430