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What is the Least Common Multiple of 45693 and 45713?

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 45693 and 45713 is 2088764109.

LCM(45693,45713) = 2088764109

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Least Common Multiple of 45693 and 45713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45693 and 45713, than apply into the LCM equation.

GCF(45693,45713) = 1
LCM(45693,45713) = ( 45693 × 45713) / 1
LCM(45693,45713) = 2088764109 / 1
LCM(45693,45713) = 2088764109

Least Common Multiple (LCM) of 45693 and 45713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45693 and 45713. First we will calculate the prime factors of 45693 and 45713.

Prime Factorization of 45693

Prime factors of 45693 are 3, 5077. Prime factorization of 45693 in exponential form is:

45693 = 32 × 50771

Prime Factorization of 45713

Prime factors of 45713 are 17, 2689. Prime factorization of 45713 in exponential form is:

45713 = 171 × 26891

Now multiplying the highest exponent prime factors to calculate the LCM of 45693 and 45713.

LCM(45693,45713) = 32 × 50771 × 171 × 26891
LCM(45693,45713) = 2088764109