What is the Least Common Multiple of 31253 and 31265?
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 31253 and 31265 is 977125045.
LCM(31253,31265) = 977125045
Least Common Multiple of 31253 and 31265 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31253 and 31265, than apply into the LCM equation.
GCF(31253,31265) = 1
LCM(31253,31265) = ( 31253 × 31265) / 1
LCM(31253,31265) = 977125045 / 1
LCM(31253,31265) = 977125045
Least Common Multiple (LCM) of 31253 and 31265 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31253 and 31265. First we will calculate the prime factors of 31253 and 31265.
Prime Factorization of 31253
Prime factors of 31253 are 31253. Prime factorization of 31253 in exponential form is:
31253 = 312531
Prime Factorization of 31265
Prime factors of 31265 are 5, 13, 37. Prime factorization of 31265 in exponential form is:
31265 = 51 × 132 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 31253 and 31265.
LCM(31253,31265) = 312531 × 51 × 132 × 371
LCM(31253,31265) = 977125045
Related Least Common Multiples of 31253
- LCM of 31253 and 31257
- LCM of 31253 and 31258
- LCM of 31253 and 31259
- LCM of 31253 and 31260
- LCM of 31253 and 31261
- LCM of 31253 and 31262
- LCM of 31253 and 31263
- LCM of 31253 and 31264
- LCM of 31253 and 31265
- LCM of 31253 and 31266
- LCM of 31253 and 31267
- LCM of 31253 and 31268
- LCM of 31253 and 31269
- LCM of 31253 and 31270
- LCM of 31253 and 31271
- LCM of 31253 and 31272
- LCM of 31253 and 31273
Related Least Common Multiples of 31265
- LCM of 31265 and 31269
- LCM of 31265 and 31270
- LCM of 31265 and 31271
- LCM of 31265 and 31272
- LCM of 31265 and 31273
- LCM of 31265 and 31274
- LCM of 31265 and 31275
- LCM of 31265 and 31276
- LCM of 31265 and 31277
- LCM of 31265 and 31278
- LCM of 31265 and 31279
- LCM of 31265 and 31280
- LCM of 31265 and 31281
- LCM of 31265 and 31282
- LCM of 31265 and 31283
- LCM of 31265 and 31284
- LCM of 31265 and 31285