What is the Least Common Multiple of 38136 and 38148?
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 38136 and 38148 is 121234344.
LCM(38136,38148) = 121234344
Least Common Multiple of 38136 and 38148 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38136 and 38148, than apply into the LCM equation.
GCF(38136,38148) = 12
LCM(38136,38148) = ( 38136 × 38148) / 12
LCM(38136,38148) = 1454812128 / 12
LCM(38136,38148) = 121234344
Least Common Multiple (LCM) of 38136 and 38148 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38136 and 38148. First we will calculate the prime factors of 38136 and 38148.
Prime Factorization of 38136
Prime factors of 38136 are 2, 3, 7, 227. Prime factorization of 38136 in exponential form is:
38136 = 23 × 31 × 71 × 2271
Prime Factorization of 38148
Prime factors of 38148 are 2, 3, 11, 17. Prime factorization of 38148 in exponential form is:
38148 = 22 × 31 × 111 × 172
Now multiplying the highest exponent prime factors to calculate the LCM of 38136 and 38148.
LCM(38136,38148) = 23 × 31 × 71 × 2271 × 111 × 172
LCM(38136,38148) = 121234344
Related Least Common Multiples of 38136
- LCM of 38136 and 38140
- LCM of 38136 and 38141
- LCM of 38136 and 38142
- LCM of 38136 and 38143
- LCM of 38136 and 38144
- LCM of 38136 and 38145
- LCM of 38136 and 38146
- LCM of 38136 and 38147
- LCM of 38136 and 38148
- LCM of 38136 and 38149
- LCM of 38136 and 38150
- LCM of 38136 and 38151
- LCM of 38136 and 38152
- LCM of 38136 and 38153
- LCM of 38136 and 38154
- LCM of 38136 and 38155
- LCM of 38136 and 38156
Related Least Common Multiples of 38148
- LCM of 38148 and 38152
- LCM of 38148 and 38153
- LCM of 38148 and 38154
- LCM of 38148 and 38155
- LCM of 38148 and 38156
- LCM of 38148 and 38157
- LCM of 38148 and 38158
- LCM of 38148 and 38159
- LCM of 38148 and 38160
- LCM of 38148 and 38161
- LCM of 38148 and 38162
- LCM of 38148 and 38163
- LCM of 38148 and 38164
- LCM of 38148 and 38165
- LCM of 38148 and 38166
- LCM of 38148 and 38167
- LCM of 38148 and 38168