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What is the Least Common Multiple of 4561 and 4577?

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 4561 and 4577 is 20875697.

LCM(4561,4577) = 20875697

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Least Common Multiple of 4561 and 4577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4561 and 4577, than apply into the LCM equation.

GCF(4561,4577) = 1
LCM(4561,4577) = ( 4561 × 4577) / 1
LCM(4561,4577) = 20875697 / 1
LCM(4561,4577) = 20875697

Least Common Multiple (LCM) of 4561 and 4577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4561 and 4577. First we will calculate the prime factors of 4561 and 4577.

Prime Factorization of 4561

Prime factors of 4561 are 4561. Prime factorization of 4561 in exponential form is:

4561 = 45611

Prime Factorization of 4577

Prime factors of 4577 are 23, 199. Prime factorization of 4577 in exponential form is:

4577 = 231 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 4561 and 4577.

LCM(4561,4577) = 45611 × 231 × 1991
LCM(4561,4577) = 20875697