What is the Least Common Multiple of 23142 and 23155?
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 23142 and 23155 is 535853010.
LCM(23142,23155) = 535853010
Least Common Multiple of 23142 and 23155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23142 and 23155, than apply into the LCM equation.
GCF(23142,23155) = 1
LCM(23142,23155) = ( 23142 × 23155) / 1
LCM(23142,23155) = 535853010 / 1
LCM(23142,23155) = 535853010
Least Common Multiple (LCM) of 23142 and 23155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23142 and 23155. First we will calculate the prime factors of 23142 and 23155.
Prime Factorization of 23142
Prime factors of 23142 are 2, 3, 7, 19, 29. Prime factorization of 23142 in exponential form is:
23142 = 21 × 31 × 71 × 191 × 291
Prime Factorization of 23155
Prime factors of 23155 are 5, 11, 421. Prime factorization of 23155 in exponential form is:
23155 = 51 × 111 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 23142 and 23155.
LCM(23142,23155) = 21 × 31 × 71 × 191 × 291 × 51 × 111 × 4211
LCM(23142,23155) = 535853010
Related Least Common Multiples of 23142
- LCM of 23142 and 23146
- LCM of 23142 and 23147
- LCM of 23142 and 23148
- LCM of 23142 and 23149
- LCM of 23142 and 23150
- LCM of 23142 and 23151
- LCM of 23142 and 23152
- LCM of 23142 and 23153
- LCM of 23142 and 23154
- LCM of 23142 and 23155
- LCM of 23142 and 23156
- LCM of 23142 and 23157
- LCM of 23142 and 23158
- LCM of 23142 and 23159
- LCM of 23142 and 23160
- LCM of 23142 and 23161
- LCM of 23142 and 23162
Related Least Common Multiples of 23155
- LCM of 23155 and 23159
- LCM of 23155 and 23160
- LCM of 23155 and 23161
- LCM of 23155 and 23162
- LCM of 23155 and 23163
- LCM of 23155 and 23164
- LCM of 23155 and 23165
- LCM of 23155 and 23166
- LCM of 23155 and 23167
- LCM of 23155 and 23168
- LCM of 23155 and 23169
- LCM of 23155 and 23170
- LCM of 23155 and 23171
- LCM of 23155 and 23172
- LCM of 23155 and 23173
- LCM of 23155 and 23174
- LCM of 23155 and 23175