What is the Least Common Multiple of 15232 and 15238?
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 15232 and 15238 is 116052608.
LCM(15232,15238) = 116052608
Least Common Multiple of 15232 and 15238 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15232 and 15238, than apply into the LCM equation.
GCF(15232,15238) = 2
LCM(15232,15238) = ( 15232 × 15238) / 2
LCM(15232,15238) = 232105216 / 2
LCM(15232,15238) = 116052608
Least Common Multiple (LCM) of 15232 and 15238 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15232 and 15238. First we will calculate the prime factors of 15232 and 15238.
Prime Factorization of 15232
Prime factors of 15232 are 2, 7, 17. Prime factorization of 15232 in exponential form is:
15232 = 27 × 71 × 171
Prime Factorization of 15238
Prime factors of 15238 are 2, 19, 401. Prime factorization of 15238 in exponential form is:
15238 = 21 × 191 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 15232 and 15238.
LCM(15232,15238) = 27 × 71 × 171 × 191 × 4011
LCM(15232,15238) = 116052608
Related Least Common Multiples of 15232
- LCM of 15232 and 15236
- LCM of 15232 and 15237
- LCM of 15232 and 15238
- LCM of 15232 and 15239
- LCM of 15232 and 15240
- LCM of 15232 and 15241
- LCM of 15232 and 15242
- LCM of 15232 and 15243
- LCM of 15232 and 15244
- LCM of 15232 and 15245
- LCM of 15232 and 15246
- LCM of 15232 and 15247
- LCM of 15232 and 15248
- LCM of 15232 and 15249
- LCM of 15232 and 15250
- LCM of 15232 and 15251
- LCM of 15232 and 15252
Related Least Common Multiples of 15238
- LCM of 15238 and 15242
- LCM of 15238 and 15243
- LCM of 15238 and 15244
- LCM of 15238 and 15245
- LCM of 15238 and 15246
- LCM of 15238 and 15247
- LCM of 15238 and 15248
- LCM of 15238 and 15249
- LCM of 15238 and 15250
- LCM of 15238 and 15251
- LCM of 15238 and 15252
- LCM of 15238 and 15253
- LCM of 15238 and 15254
- LCM of 15238 and 15255
- LCM of 15238 and 15256
- LCM of 15238 and 15257
- LCM of 15238 and 15258