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What is the Least Common Multiple of 12561 and 12573?

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 12573 is 52643151.

LCM(12561,12573) = 52643151

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Least Common Multiple of 12561 and 12573 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 12573, than apply into the LCM equation.

GCF(12561,12573) = 3
LCM(12561,12573) = ( 12561 × 12573) / 3
LCM(12561,12573) = 157929453 / 3
LCM(12561,12573) = 52643151

Least Common Multiple (LCM) of 12561 and 12573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12561 and 12573. First we will calculate the prime factors of 12561 and 12573.

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 12573

Prime factors of 12573 are 3, 11, 127. Prime factorization of 12573 in exponential form is:

12573 = 32 × 111 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 12561 and 12573.

LCM(12561,12573) = 32 × 531 × 791 × 111 × 1271
LCM(12561,12573) = 52643151