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What is the Least Common Multiple of 12932 and 12947?

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 12932 and 12947 is 167430604.

LCM(12932,12947) = 167430604

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Least Common Multiple of 12932 and 12947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12932 and 12947, than apply into the LCM equation.

GCF(12932,12947) = 1
LCM(12932,12947) = ( 12932 × 12947) / 1
LCM(12932,12947) = 167430604 / 1
LCM(12932,12947) = 167430604

Least Common Multiple (LCM) of 12932 and 12947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12932 and 12947. First we will calculate the prime factors of 12932 and 12947.

Prime Factorization of 12932

Prime factors of 12932 are 2, 53, 61. Prime factorization of 12932 in exponential form is:

12932 = 22 × 531 × 611

Prime Factorization of 12947

Prime factors of 12947 are 11, 107. Prime factorization of 12947 in exponential form is:

12947 = 112 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 12932 and 12947.

LCM(12932,12947) = 22 × 531 × 611 × 112 × 1071
LCM(12932,12947) = 167430604