What is the Least Common Multiple of 12772 and 12783?
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 12783 is 163264476.
LCM(12772,12783) = 163264476
Least Common Multiple of 12772 and 12783 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 12783, than apply into the LCM equation.
GCF(12772,12783) = 1
LCM(12772,12783) = ( 12772 × 12783) / 1
LCM(12772,12783) = 163264476 / 1
LCM(12772,12783) = 163264476
Least Common Multiple (LCM) of 12772 and 12783 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12772 and 12783. First we will calculate the prime factors of 12772 and 12783.
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 12783
Prime factors of 12783 are 3, 4261. Prime factorization of 12783 in exponential form is:
12783 = 31 × 42611
Now multiplying the highest exponent prime factors to calculate the LCM of 12772 and 12783.
LCM(12772,12783) = 22 × 311 × 1031 × 31 × 42611
LCM(12772,12783) = 163264476
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