What is the Least Common Multiple of 14086 and 14096?
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 14086 and 14096 is 99278128.
LCM(14086,14096) = 99278128
Least Common Multiple of 14086 and 14096 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14086 and 14096, than apply into the LCM equation.
GCF(14086,14096) = 2
LCM(14086,14096) = ( 14086 × 14096) / 2
LCM(14086,14096) = 198556256 / 2
LCM(14086,14096) = 99278128
Least Common Multiple (LCM) of 14086 and 14096 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14086 and 14096. First we will calculate the prime factors of 14086 and 14096.
Prime Factorization of 14086
Prime factors of 14086 are 2, 7043. Prime factorization of 14086 in exponential form is:
14086 = 21 × 70431
Prime Factorization of 14096
Prime factors of 14096 are 2, 881. Prime factorization of 14096 in exponential form is:
14096 = 24 × 8811
Now multiplying the highest exponent prime factors to calculate the LCM of 14086 and 14096.
LCM(14086,14096) = 24 × 70431 × 8811
LCM(14086,14096) = 99278128
Related Least Common Multiples of 14086
- LCM of 14086 and 14090
- LCM of 14086 and 14091
- LCM of 14086 and 14092
- LCM of 14086 and 14093
- LCM of 14086 and 14094
- LCM of 14086 and 14095
- LCM of 14086 and 14096
- LCM of 14086 and 14097
- LCM of 14086 and 14098
- LCM of 14086 and 14099
- LCM of 14086 and 14100
- LCM of 14086 and 14101
- LCM of 14086 and 14102
- LCM of 14086 and 14103
- LCM of 14086 and 14104
- LCM of 14086 and 14105
- LCM of 14086 and 14106
Related Least Common Multiples of 14096
- LCM of 14096 and 14100
- LCM of 14096 and 14101
- LCM of 14096 and 14102
- LCM of 14096 and 14103
- LCM of 14096 and 14104
- LCM of 14096 and 14105
- LCM of 14096 and 14106
- LCM of 14096 and 14107
- LCM of 14096 and 14108
- LCM of 14096 and 14109
- LCM of 14096 and 14110
- LCM of 14096 and 14111
- LCM of 14096 and 14112
- LCM of 14096 and 14113
- LCM of 14096 and 14114
- LCM of 14096 and 14115
- LCM of 14096 and 14116