What is the Least Common Multiple of 12766 and 12776?
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 12766 and 12776 is 81549208.
LCM(12766,12776) = 81549208
Least Common Multiple of 12766 and 12776 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12766 and 12776, than apply into the LCM equation.
GCF(12766,12776) = 2
LCM(12766,12776) = ( 12766 × 12776) / 2
LCM(12766,12776) = 163098416 / 2
LCM(12766,12776) = 81549208
Least Common Multiple (LCM) of 12766 and 12776 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12766 and 12776. First we will calculate the prime factors of 12766 and 12776.
Prime Factorization of 12766
Prime factors of 12766 are 2, 13, 491. Prime factorization of 12766 in exponential form is:
12766 = 21 × 131 × 4911
Prime Factorization of 12776
Prime factors of 12776 are 2, 1597. Prime factorization of 12776 in exponential form is:
12776 = 23 × 15971
Now multiplying the highest exponent prime factors to calculate the LCM of 12766 and 12776.
LCM(12766,12776) = 23 × 131 × 4911 × 15971
LCM(12766,12776) = 81549208
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