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What is the Least Common Multiple of 56689 and 56707?

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 56689 and 56707 is 3214663123.

LCM(56689,56707) = 3214663123

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Least Common Multiple of 56689 and 56707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56689 and 56707, than apply into the LCM equation.

GCF(56689,56707) = 1
LCM(56689,56707) = ( 56689 × 56707) / 1
LCM(56689,56707) = 3214663123 / 1
LCM(56689,56707) = 3214663123

Least Common Multiple (LCM) of 56689 and 56707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56689 and 56707. First we will calculate the prime factors of 56689 and 56707.

Prime Factorization of 56689

Prime factors of 56689 are 83, 683. Prime factorization of 56689 in exponential form is:

56689 = 831 × 6831

Prime Factorization of 56707

Prime factors of 56707 are 7, 8101. Prime factorization of 56707 in exponential form is:

56707 = 71 × 81011

Now multiplying the highest exponent prime factors to calculate the LCM of 56689 and 56707.

LCM(56689,56707) = 831 × 6831 × 71 × 81011
LCM(56689,56707) = 3214663123