What is the Least Common Multiple of 16707 and 16724?
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 16707 and 16724 is 279407868.
LCM(16707,16724) = 279407868
Least Common Multiple of 16707 and 16724 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16707 and 16724, than apply into the LCM equation.
GCF(16707,16724) = 1
LCM(16707,16724) = ( 16707 × 16724) / 1
LCM(16707,16724) = 279407868 / 1
LCM(16707,16724) = 279407868
Least Common Multiple (LCM) of 16707 and 16724 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16707 and 16724. First we will calculate the prime factors of 16707 and 16724.
Prime Factorization of 16707
Prime factors of 16707 are 3, 5569. Prime factorization of 16707 in exponential form is:
16707 = 31 × 55691
Prime Factorization of 16724
Prime factors of 16724 are 2, 37, 113. Prime factorization of 16724 in exponential form is:
16724 = 22 × 371 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 16707 and 16724.
LCM(16707,16724) = 31 × 55691 × 22 × 371 × 1131
LCM(16707,16724) = 279407868
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