What is the Least Common Multiple of 5249 and 5255?
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 5249 and 5255 is 27583495.
LCM(5249,5255) = 27583495
Least Common Multiple of 5249 and 5255 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5249 and 5255, than apply into the LCM equation.
GCF(5249,5255) = 1
LCM(5249,5255) = ( 5249 × 5255) / 1
LCM(5249,5255) = 27583495 / 1
LCM(5249,5255) = 27583495
Least Common Multiple (LCM) of 5249 and 5255 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5249 and 5255. First we will calculate the prime factors of 5249 and 5255.
Prime Factorization of 5249
Prime factors of 5249 are 29, 181. Prime factorization of 5249 in exponential form is:
5249 = 291 × 1811
Prime Factorization of 5255
Prime factors of 5255 are 5, 1051. Prime factorization of 5255 in exponential form is:
5255 = 51 × 10511
Now multiplying the highest exponent prime factors to calculate the LCM of 5249 and 5255.
LCM(5249,5255) = 291 × 1811 × 51 × 10511
LCM(5249,5255) = 27583495
Related Least Common Multiples of 5249
- LCM of 5249 and 5253
- LCM of 5249 and 5254
- LCM of 5249 and 5255
- LCM of 5249 and 5256
- LCM of 5249 and 5257
- LCM of 5249 and 5258
- LCM of 5249 and 5259
- LCM of 5249 and 5260
- LCM of 5249 and 5261
- LCM of 5249 and 5262
- LCM of 5249 and 5263
- LCM of 5249 and 5264
- LCM of 5249 and 5265
- LCM of 5249 and 5266
- LCM of 5249 and 5267
- LCM of 5249 and 5268
- LCM of 5249 and 5269
Related Least Common Multiples of 5255
- LCM of 5255 and 5259
- LCM of 5255 and 5260
- LCM of 5255 and 5261
- LCM of 5255 and 5262
- LCM of 5255 and 5263
- LCM of 5255 and 5264
- LCM of 5255 and 5265
- LCM of 5255 and 5266
- LCM of 5255 and 5267
- LCM of 5255 and 5268
- LCM of 5255 and 5269
- LCM of 5255 and 5270
- LCM of 5255 and 5271
- LCM of 5255 and 5272
- LCM of 5255 and 5273
- LCM of 5255 and 5274
- LCM of 5255 and 5275