What is the Least Common Multiple of 10399 and 10416?
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 10399 and 10416 is 108315984.
LCM(10399,10416) = 108315984
Least Common Multiple of 10399 and 10416 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10399 and 10416, than apply into the LCM equation.
GCF(10399,10416) = 1
LCM(10399,10416) = ( 10399 × 10416) / 1
LCM(10399,10416) = 108315984 / 1
LCM(10399,10416) = 108315984
Least Common Multiple (LCM) of 10399 and 10416 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10399 and 10416. First we will calculate the prime factors of 10399 and 10416.
Prime Factorization of 10399
Prime factors of 10399 are 10399. Prime factorization of 10399 in exponential form is:
10399 = 103991
Prime Factorization of 10416
Prime factors of 10416 are 2, 3, 7, 31. Prime factorization of 10416 in exponential form is:
10416 = 24 × 31 × 71 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 10399 and 10416.
LCM(10399,10416) = 103991 × 24 × 31 × 71 × 311
LCM(10399,10416) = 108315984
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