What is the Least Common Multiple of 262 and 282?
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 262 and 282 is 36942.
LCM(262,282) = 36942
Least Common Multiple of 262 and 282 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 262 and 282, than apply into the LCM equation.
GCF(262,282) = 2
LCM(262,282) = ( 262 × 282) / 2
LCM(262,282) = 73884 / 2
LCM(262,282) = 36942
Least Common Multiple (LCM) of 262 and 282 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 262 and 282. First we will calculate the prime factors of 262 and 282.
Prime Factorization of 262
Prime factors of 262 are 2, 131. Prime factorization of 262 in exponential form is:
262 = 21 × 1311
Prime Factorization of 282
Prime factors of 282 are 2, 3, 47. Prime factorization of 282 in exponential form is:
282 = 21 × 31 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 262 and 282.
LCM(262,282) = 21 × 1311 × 31 × 471
LCM(262,282) = 36942
Related Least Common Multiples of 262
- LCM of 262 and 266
- LCM of 262 and 267
- LCM of 262 and 268
- LCM of 262 and 269
- LCM of 262 and 270
- LCM of 262 and 271
- LCM of 262 and 272
- LCM of 262 and 273
- LCM of 262 and 274
- LCM of 262 and 275
- LCM of 262 and 276
- LCM of 262 and 277
- LCM of 262 and 278
- LCM of 262 and 279
- LCM of 262 and 280
- LCM of 262 and 281
- LCM of 262 and 282
Related Least Common Multiples of 282
- LCM of 282 and 286
- LCM of 282 and 287
- LCM of 282 and 288
- LCM of 282 and 289
- LCM of 282 and 290
- LCM of 282 and 291
- LCM of 282 and 292
- LCM of 282 and 293
- LCM of 282 and 294
- LCM of 282 and 295
- LCM of 282 and 296
- LCM of 282 and 297
- LCM of 282 and 298
- LCM of 282 and 299
- LCM of 282 and 300
- LCM of 282 and 301
- LCM of 282 and 302