What is the Least Common Multiple of 5107 and 5115?
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 5107 and 5115 is 26122305.
LCM(5107,5115) = 26122305
Least Common Multiple of 5107 and 5115 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5107 and 5115, than apply into the LCM equation.
GCF(5107,5115) = 1
LCM(5107,5115) = ( 5107 × 5115) / 1
LCM(5107,5115) = 26122305 / 1
LCM(5107,5115) = 26122305
Least Common Multiple (LCM) of 5107 and 5115 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5107 and 5115. First we will calculate the prime factors of 5107 and 5115.
Prime Factorization of 5107
Prime factors of 5107 are 5107. Prime factorization of 5107 in exponential form is:
5107 = 51071
Prime Factorization of 5115
Prime factors of 5115 are 3, 5, 11, 31. Prime factorization of 5115 in exponential form is:
5115 = 31 × 51 × 111 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 5107 and 5115.
LCM(5107,5115) = 51071 × 31 × 51 × 111 × 311
LCM(5107,5115) = 26122305
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