What is the Least Common Multiple of 5144 and 5152?
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 5144 and 5152 is 3312736.
LCM(5144,5152) = 3312736
Least Common Multiple of 5144 and 5152 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5144 and 5152, than apply into the LCM equation.
GCF(5144,5152) = 8
LCM(5144,5152) = ( 5144 × 5152) / 8
LCM(5144,5152) = 26501888 / 8
LCM(5144,5152) = 3312736
Least Common Multiple (LCM) of 5144 and 5152 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5144 and 5152. First we will calculate the prime factors of 5144 and 5152.
Prime Factorization of 5144
Prime factors of 5144 are 2, 643. Prime factorization of 5144 in exponential form is:
5144 = 23 × 6431
Prime Factorization of 5152
Prime factors of 5152 are 2, 7, 23. Prime factorization of 5152 in exponential form is:
5152 = 25 × 71 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 5144 and 5152.
LCM(5144,5152) = 25 × 6431 × 71 × 231
LCM(5144,5152) = 3312736
Related Least Common Multiples of 5144
- LCM of 5144 and 5148
- LCM of 5144 and 5149
- LCM of 5144 and 5150
- LCM of 5144 and 5151
- LCM of 5144 and 5152
- LCM of 5144 and 5153
- LCM of 5144 and 5154
- LCM of 5144 and 5155
- LCM of 5144 and 5156
- LCM of 5144 and 5157
- LCM of 5144 and 5158
- LCM of 5144 and 5159
- LCM of 5144 and 5160
- LCM of 5144 and 5161
- LCM of 5144 and 5162
- LCM of 5144 and 5163
- LCM of 5144 and 5164
Related Least Common Multiples of 5152
- LCM of 5152 and 5156
- LCM of 5152 and 5157
- LCM of 5152 and 5158
- LCM of 5152 and 5159
- LCM of 5152 and 5160
- LCM of 5152 and 5161
- LCM of 5152 and 5162
- LCM of 5152 and 5163
- LCM of 5152 and 5164
- LCM of 5152 and 5165
- LCM of 5152 and 5166
- LCM of 5152 and 5167
- LCM of 5152 and 5168
- LCM of 5152 and 5169
- LCM of 5152 and 5170
- LCM of 5152 and 5171
- LCM of 5152 and 5172