What is the Least Common Multiple of 5138 and 5146?
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 5138 and 5146 is 13220074.
LCM(5138,5146) = 13220074
Least Common Multiple of 5138 and 5146 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5138 and 5146, than apply into the LCM equation.
GCF(5138,5146) = 2
LCM(5138,5146) = ( 5138 × 5146) / 2
LCM(5138,5146) = 26440148 / 2
LCM(5138,5146) = 13220074
Least Common Multiple (LCM) of 5138 and 5146 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5138 and 5146. First we will calculate the prime factors of 5138 and 5146.
Prime Factorization of 5138
Prime factors of 5138 are 2, 7, 367. Prime factorization of 5138 in exponential form is:
5138 = 21 × 71 × 3671
Prime Factorization of 5146
Prime factors of 5146 are 2, 31, 83. Prime factorization of 5146 in exponential form is:
5146 = 21 × 311 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 5138 and 5146.
LCM(5138,5146) = 21 × 71 × 3671 × 311 × 831
LCM(5138,5146) = 13220074
Related Least Common Multiples of 5138
- LCM of 5138 and 5142
- LCM of 5138 and 5143
- LCM of 5138 and 5144
- LCM of 5138 and 5145
- LCM of 5138 and 5146
- LCM of 5138 and 5147
- LCM of 5138 and 5148
- LCM of 5138 and 5149
- LCM of 5138 and 5150
- LCM of 5138 and 5151
- LCM of 5138 and 5152
- LCM of 5138 and 5153
- LCM of 5138 and 5154
- LCM of 5138 and 5155
- LCM of 5138 and 5156
- LCM of 5138 and 5157
- LCM of 5138 and 5158
Related Least Common Multiples of 5146
- LCM of 5146 and 5150
- LCM of 5146 and 5151
- LCM of 5146 and 5152
- LCM of 5146 and 5153
- LCM of 5146 and 5154
- LCM of 5146 and 5155
- LCM of 5146 and 5156
- LCM of 5146 and 5157
- LCM of 5146 and 5158
- LCM of 5146 and 5159
- LCM of 5146 and 5160
- LCM of 5146 and 5161
- LCM of 5146 and 5162
- LCM of 5146 and 5163
- LCM of 5146 and 5164
- LCM of 5146 and 5165
- LCM of 5146 and 5166