What is the Least Common Multiple of 10495 and 10514?
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 10495 and 10514 is 110344430.
LCM(10495,10514) = 110344430
Least Common Multiple of 10495 and 10514 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10495 and 10514, than apply into the LCM equation.
GCF(10495,10514) = 1
LCM(10495,10514) = ( 10495 × 10514) / 1
LCM(10495,10514) = 110344430 / 1
LCM(10495,10514) = 110344430
Least Common Multiple (LCM) of 10495 and 10514 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10495 and 10514. First we will calculate the prime factors of 10495 and 10514.
Prime Factorization of 10495
Prime factors of 10495 are 5, 2099. Prime factorization of 10495 in exponential form is:
10495 = 51 × 20991
Prime Factorization of 10514
Prime factors of 10514 are 2, 7, 751. Prime factorization of 10514 in exponential form is:
10514 = 21 × 71 × 7511
Now multiplying the highest exponent prime factors to calculate the LCM of 10495 and 10514.
LCM(10495,10514) = 51 × 20991 × 21 × 71 × 7511
LCM(10495,10514) = 110344430
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