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What is the Least Common Multiple of 65618 and 65632?

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 65618 and 65632 is 307617184.

LCM(65618,65632) = 307617184

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Least Common Multiple of 65618 and 65632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65618 and 65632, than apply into the LCM equation.

GCF(65618,65632) = 14
LCM(65618,65632) = ( 65618 × 65632) / 14
LCM(65618,65632) = 4306640576 / 14
LCM(65618,65632) = 307617184

Least Common Multiple (LCM) of 65618 and 65632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65618 and 65632. First we will calculate the prime factors of 65618 and 65632.

Prime Factorization of 65618

Prime factors of 65618 are 2, 7, 43, 109. Prime factorization of 65618 in exponential form is:

65618 = 21 × 71 × 431 × 1091

Prime Factorization of 65632

Prime factors of 65632 are 2, 7, 293. Prime factorization of 65632 in exponential form is:

65632 = 25 × 71 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 65618 and 65632.

LCM(65618,65632) = 25 × 71 × 431 × 1091 × 2931
LCM(65618,65632) = 307617184