What is the Least Common Multiple of 12791 and 12801?
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 12791 and 12801 is 163737591.
LCM(12791,12801) = 163737591
Least Common Multiple of 12791 and 12801 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12791 and 12801, than apply into the LCM equation.
GCF(12791,12801) = 1
LCM(12791,12801) = ( 12791 × 12801) / 1
LCM(12791,12801) = 163737591 / 1
LCM(12791,12801) = 163737591
Least Common Multiple (LCM) of 12791 and 12801 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12791 and 12801. First we will calculate the prime factors of 12791 and 12801.
Prime Factorization of 12791
Prime factors of 12791 are 12791. Prime factorization of 12791 in exponential form is:
12791 = 127911
Prime Factorization of 12801
Prime factors of 12801 are 3, 17, 251. Prime factorization of 12801 in exponential form is:
12801 = 31 × 171 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 12791 and 12801.
LCM(12791,12801) = 127911 × 31 × 171 × 2511
LCM(12791,12801) = 163737591
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