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What is the Least Common Multiple of 68618 and 68629?

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 68618 and 68629 is 428107702.

LCM(68618,68629) = 428107702

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Least Common Multiple of 68618 and 68629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68618 and 68629, than apply into the LCM equation.

GCF(68618,68629) = 11
LCM(68618,68629) = ( 68618 × 68629) / 11
LCM(68618,68629) = 4709184722 / 11
LCM(68618,68629) = 428107702

Least Common Multiple (LCM) of 68618 and 68629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68618 and 68629. First we will calculate the prime factors of 68618 and 68629.

Prime Factorization of 68618

Prime factors of 68618 are 2, 11, 3119. Prime factorization of 68618 in exponential form is:

68618 = 21 × 111 × 31191

Prime Factorization of 68629

Prime factors of 68629 are 11, 17, 367. Prime factorization of 68629 in exponential form is:

68629 = 111 × 171 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 68618 and 68629.

LCM(68618,68629) = 21 × 111 × 31191 × 171 × 3671
LCM(68618,68629) = 428107702