What is the Least Common Multiple of 10915 and 10935?
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 10915 and 10935 is 23871105.
LCM(10915,10935) = 23871105
Least Common Multiple of 10915 and 10935 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10915 and 10935, than apply into the LCM equation.
GCF(10915,10935) = 5
LCM(10915,10935) = ( 10915 × 10935) / 5
LCM(10915,10935) = 119355525 / 5
LCM(10915,10935) = 23871105
Least Common Multiple (LCM) of 10915 and 10935 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10915 and 10935. First we will calculate the prime factors of 10915 and 10935.
Prime Factorization of 10915
Prime factors of 10915 are 5, 37, 59. Prime factorization of 10915 in exponential form is:
10915 = 51 × 371 × 591
Prime Factorization of 10935
Prime factors of 10935 are 3, 5. Prime factorization of 10935 in exponential form is:
10935 = 37 × 51
Now multiplying the highest exponent prime factors to calculate the LCM of 10915 and 10935.
LCM(10915,10935) = 51 × 371 × 591 × 37
LCM(10915,10935) = 23871105
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