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What is the Least Common Multiple of 56689 and 56693?

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 56693 is 3213869477.

LCM(56689,56693) = 3213869477

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Least Common Multiple of 56689 and 56693 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 56693, than apply into the LCM equation.

GCF(56689,56693) = 1
LCM(56689,56693) = ( 56689 × 56693) / 1
LCM(56689,56693) = 3213869477 / 1
LCM(56689,56693) = 3213869477

Least Common Multiple (LCM) of 56689 and 56693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56689 and 56693. First we will calculate the prime factors of 56689 and 56693.

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 56693

Prime factors of 56693 are 7, 13, 89. Prime factorization of 56693 in exponential form is:

56693 = 72 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 56689 and 56693.

LCM(56689,56693) = 831 × 6831 × 72 × 131 × 891
LCM(56689,56693) = 3213869477