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What is the Least Common Multiple of 83773 and 83789?

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 83773 and 83789 is 7019255897.

LCM(83773,83789) = 7019255897

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Least Common Multiple of 83773 and 83789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83773 and 83789, than apply into the LCM equation.

GCF(83773,83789) = 1
LCM(83773,83789) = ( 83773 × 83789) / 1
LCM(83773,83789) = 7019255897 / 1
LCM(83773,83789) = 7019255897

Least Common Multiple (LCM) of 83773 and 83789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83773 and 83789. First we will calculate the prime factors of 83773 and 83789.

Prime Factorization of 83773

Prime factors of 83773 are 83773. Prime factorization of 83773 in exponential form is:

83773 = 837731

Prime Factorization of 83789

Prime factors of 83789 are 23, 3643. Prime factorization of 83789 in exponential form is:

83789 = 231 × 36431

Now multiplying the highest exponent prime factors to calculate the LCM of 83773 and 83789.

LCM(83773,83789) = 837731 × 231 × 36431
LCM(83773,83789) = 7019255897