What is the Least Common Multiple of 17144 and 17150?
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 17144 and 17150 is 147009800.
LCM(17144,17150) = 147009800
Least Common Multiple of 17144 and 17150 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17144 and 17150, than apply into the LCM equation.
GCF(17144,17150) = 2
LCM(17144,17150) = ( 17144 × 17150) / 2
LCM(17144,17150) = 294019600 / 2
LCM(17144,17150) = 147009800
Least Common Multiple (LCM) of 17144 and 17150 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17144 and 17150. First we will calculate the prime factors of 17144 and 17150.
Prime Factorization of 17144
Prime factors of 17144 are 2, 2143. Prime factorization of 17144 in exponential form is:
17144 = 23 × 21431
Prime Factorization of 17150
Prime factors of 17150 are 2, 5, 7. Prime factorization of 17150 in exponential form is:
17150 = 21 × 52 × 73
Now multiplying the highest exponent prime factors to calculate the LCM of 17144 and 17150.
LCM(17144,17150) = 23 × 21431 × 52 × 73
LCM(17144,17150) = 147009800
Related Least Common Multiples of 17144
- LCM of 17144 and 17148
- LCM of 17144 and 17149
- LCM of 17144 and 17150
- LCM of 17144 and 17151
- LCM of 17144 and 17152
- LCM of 17144 and 17153
- LCM of 17144 and 17154
- LCM of 17144 and 17155
- LCM of 17144 and 17156
- LCM of 17144 and 17157
- LCM of 17144 and 17158
- LCM of 17144 and 17159
- LCM of 17144 and 17160
- LCM of 17144 and 17161
- LCM of 17144 and 17162
- LCM of 17144 and 17163
- LCM of 17144 and 17164
Related Least Common Multiples of 17150
- LCM of 17150 and 17154
- LCM of 17150 and 17155
- LCM of 17150 and 17156
- LCM of 17150 and 17157
- LCM of 17150 and 17158
- LCM of 17150 and 17159
- LCM of 17150 and 17160
- LCM of 17150 and 17161
- LCM of 17150 and 17162
- LCM of 17150 and 17163
- LCM of 17150 and 17164
- LCM of 17150 and 17165
- LCM of 17150 and 17166
- LCM of 17150 and 17167
- LCM of 17150 and 17168
- LCM of 17150 and 17169
- LCM of 17150 and 17170