What is the Least Common Multiple of 16872 and 16879?
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 16872 and 16879 is 284782488.
LCM(16872,16879) = 284782488
Least Common Multiple of 16872 and 16879 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16872 and 16879, than apply into the LCM equation.
GCF(16872,16879) = 1
LCM(16872,16879) = ( 16872 × 16879) / 1
LCM(16872,16879) = 284782488 / 1
LCM(16872,16879) = 284782488
Least Common Multiple (LCM) of 16872 and 16879 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16872 and 16879. First we will calculate the prime factors of 16872 and 16879.
Prime Factorization of 16872
Prime factors of 16872 are 2, 3, 19, 37. Prime factorization of 16872 in exponential form is:
16872 = 23 × 31 × 191 × 371
Prime Factorization of 16879
Prime factors of 16879 are 16879. Prime factorization of 16879 in exponential form is:
16879 = 168791
Now multiplying the highest exponent prime factors to calculate the LCM of 16872 and 16879.
LCM(16872,16879) = 23 × 31 × 191 × 371 × 168791
LCM(16872,16879) = 284782488
Related Least Common Multiples of 16872
- LCM of 16872 and 16876
- LCM of 16872 and 16877
- LCM of 16872 and 16878
- LCM of 16872 and 16879
- LCM of 16872 and 16880
- LCM of 16872 and 16881
- LCM of 16872 and 16882
- LCM of 16872 and 16883
- LCM of 16872 and 16884
- LCM of 16872 and 16885
- LCM of 16872 and 16886
- LCM of 16872 and 16887
- LCM of 16872 and 16888
- LCM of 16872 and 16889
- LCM of 16872 and 16890
- LCM of 16872 and 16891
- LCM of 16872 and 16892
Related Least Common Multiples of 16879
- LCM of 16879 and 16883
- LCM of 16879 and 16884
- LCM of 16879 and 16885
- LCM of 16879 and 16886
- LCM of 16879 and 16887
- LCM of 16879 and 16888
- LCM of 16879 and 16889
- LCM of 16879 and 16890
- LCM of 16879 and 16891
- LCM of 16879 and 16892
- LCM of 16879 and 16893
- LCM of 16879 and 16894
- LCM of 16879 and 16895
- LCM of 16879 and 16896
- LCM of 16879 and 16897
- LCM of 16879 and 16898
- LCM of 16879 and 16899