What is the Least Common Multiple of 12896 and 12912?
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 12896 and 12912 is 10407072.
LCM(12896,12912) = 10407072
Least Common Multiple of 12896 and 12912 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12896 and 12912, than apply into the LCM equation.
GCF(12896,12912) = 16
LCM(12896,12912) = ( 12896 × 12912) / 16
LCM(12896,12912) = 166513152 / 16
LCM(12896,12912) = 10407072
Least Common Multiple (LCM) of 12896 and 12912 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12896 and 12912. First we will calculate the prime factors of 12896 and 12912.
Prime Factorization of 12896
Prime factors of 12896 are 2, 13, 31. Prime factorization of 12896 in exponential form is:
12896 = 25 × 131 × 311
Prime Factorization of 12912
Prime factors of 12912 are 2, 3, 269. Prime factorization of 12912 in exponential form is:
12912 = 24 × 31 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 12896 and 12912.
LCM(12896,12912) = 25 × 131 × 311 × 31 × 2691
LCM(12896,12912) = 10407072
Related Least Common Multiples of 12896
- LCM of 12896 and 12900
- LCM of 12896 and 12901
- LCM of 12896 and 12902
- LCM of 12896 and 12903
- LCM of 12896 and 12904
- LCM of 12896 and 12905
- LCM of 12896 and 12906
- LCM of 12896 and 12907
- LCM of 12896 and 12908
- LCM of 12896 and 12909
- LCM of 12896 and 12910
- LCM of 12896 and 12911
- LCM of 12896 and 12912
- LCM of 12896 and 12913
- LCM of 12896 and 12914
- LCM of 12896 and 12915
- LCM of 12896 and 12916
Related Least Common Multiples of 12912
- LCM of 12912 and 12916
- LCM of 12912 and 12917
- LCM of 12912 and 12918
- LCM of 12912 and 12919
- LCM of 12912 and 12920
- LCM of 12912 and 12921
- LCM of 12912 and 12922
- LCM of 12912 and 12923
- LCM of 12912 and 12924
- LCM of 12912 and 12925
- LCM of 12912 and 12926
- LCM of 12912 and 12927
- LCM of 12912 and 12928
- LCM of 12912 and 12929
- LCM of 12912 and 12930
- LCM of 12912 and 12931
- LCM of 12912 and 12932