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What is the Least Common Multiple of 12549 and 12561?

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 12549 and 12561 is 52542663.

LCM(12549,12561) = 52542663

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Least Common Multiple of 12549 and 12561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12549 and 12561, than apply into the LCM equation.

GCF(12549,12561) = 3
LCM(12549,12561) = ( 12549 × 12561) / 3
LCM(12549,12561) = 157627989 / 3
LCM(12549,12561) = 52542663

Least Common Multiple (LCM) of 12549 and 12561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12549 and 12561. First we will calculate the prime factors of 12549 and 12561.

Prime Factorization of 12549

Prime factors of 12549 are 3, 47, 89. Prime factorization of 12549 in exponential form is:

12549 = 31 × 471 × 891

Prime Factorization of 12561

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

12561 = 31 × 531 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 12549 and 12561.

LCM(12549,12561) = 31 × 471 × 891 × 531 × 791
LCM(12549,12561) = 52542663