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What is the Least Common Multiple of 12561 and 12577?

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 12561 and 12577 is 157979697.

LCM(12561,12577) = 157979697

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Least Common Multiple of 12561 and 12577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12561 and 12577, than apply into the LCM equation.

GCF(12561,12577) = 1
LCM(12561,12577) = ( 12561 × 12577) / 1
LCM(12561,12577) = 157979697 / 1
LCM(12561,12577) = 157979697

Least Common Multiple (LCM) of 12561 and 12577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12561 and 12577. First we will calculate the prime factors of 12561 and 12577.

Prime Factorization of 12561

Prime factors of 12561 are 3, 53, 79. Prime factorization of 12561 in exponential form is:

12561 = 31 × 531 × 791

Prime Factorization of 12577

Prime factors of 12577 are 12577. Prime factorization of 12577 in exponential form is:

12577 = 125771

Now multiplying the highest exponent prime factors to calculate the LCM of 12561 and 12577.

LCM(12561,12577) = 31 × 531 × 791 × 125771
LCM(12561,12577) = 157979697