What is the Least Common Multiple of 12760 and 12766?
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 12760 and 12766 is 81447080.
LCM(12760,12766) = 81447080
Least Common Multiple of 12760 and 12766 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12760 and 12766, than apply into the LCM equation.
GCF(12760,12766) = 2
LCM(12760,12766) = ( 12760 × 12766) / 2
LCM(12760,12766) = 162894160 / 2
LCM(12760,12766) = 81447080
Least Common Multiple (LCM) of 12760 and 12766 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12760 and 12766. First we will calculate the prime factors of 12760 and 12766.
Prime Factorization of 12760
Prime factors of 12760 are 2, 5, 11, 29. Prime factorization of 12760 in exponential form is:
12760 = 23 × 51 × 111 × 291
Prime Factorization of 12766
Prime factors of 12766 are 2, 13, 491. Prime factorization of 12766 in exponential form is:
12766 = 21 × 131 × 4911
Now multiplying the highest exponent prime factors to calculate the LCM of 12760 and 12766.
LCM(12760,12766) = 23 × 51 × 111 × 291 × 131 × 4911
LCM(12760,12766) = 81447080
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