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What is the Least Common Multiple of 12916 and 12932?

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 12916 and 12932 is 41757428.

LCM(12916,12932) = 41757428

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Least Common Multiple of 12916 and 12932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12916 and 12932, than apply into the LCM equation.

GCF(12916,12932) = 4
LCM(12916,12932) = ( 12916 × 12932) / 4
LCM(12916,12932) = 167029712 / 4
LCM(12916,12932) = 41757428

Least Common Multiple (LCM) of 12916 and 12932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12916 and 12932. First we will calculate the prime factors of 12916 and 12932.

Prime Factorization of 12916

Prime factors of 12916 are 2, 3229. Prime factorization of 12916 in exponential form is:

12916 = 22 × 32291

Prime Factorization of 12932

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

12932 = 22 × 531 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 12916 and 12932.

LCM(12916,12932) = 22 × 32291 × 531 × 611
LCM(12916,12932) = 41757428