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What is the Least Common Multiple of 12772 and 12778?

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 12772 and 12778 is 81600308.

LCM(12772,12778) = 81600308

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Least Common Multiple of 12772 and 12778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12772 and 12778, than apply into the LCM equation.

GCF(12772,12778) = 2
LCM(12772,12778) = ( 12772 × 12778) / 2
LCM(12772,12778) = 163200616 / 2
LCM(12772,12778) = 81600308

Least Common Multiple (LCM) of 12772 and 12778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12772 and 12778. First we will calculate the prime factors of 12772 and 12778.

Prime Factorization of 12772

Prime factors of 12772 are 2, 31, 103. Prime factorization of 12772 in exponential form is:

12772 = 22 × 311 × 1031

Prime Factorization of 12778

Prime factors of 12778 are 2, 6389. Prime factorization of 12778 in exponential form is:

12778 = 21 × 63891

Now multiplying the highest exponent prime factors to calculate the LCM of 12772 and 12778.

LCM(12772,12778) = 22 × 311 × 1031 × 63891
LCM(12772,12778) = 81600308