What is the Least Common Multiple of 11615 and 11631?
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 11615 and 11631 is 135094065.
LCM(11615,11631) = 135094065
Least Common Multiple of 11615 and 11631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11615 and 11631, than apply into the LCM equation.
GCF(11615,11631) = 1
LCM(11615,11631) = ( 11615 × 11631) / 1
LCM(11615,11631) = 135094065 / 1
LCM(11615,11631) = 135094065
Least Common Multiple (LCM) of 11615 and 11631 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11615 and 11631. First we will calculate the prime factors of 11615 and 11631.
Prime Factorization of 11615
Prime factors of 11615 are 5, 23, 101. Prime factorization of 11615 in exponential form is:
11615 = 51 × 231 × 1011
Prime Factorization of 11631
Prime factors of 11631 are 3, 3877. Prime factorization of 11631 in exponential form is:
11631 = 31 × 38771
Now multiplying the highest exponent prime factors to calculate the LCM of 11615 and 11631.
LCM(11615,11631) = 51 × 231 × 1011 × 31 × 38771
LCM(11615,11631) = 135094065
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