What is the Least Common Multiple of 290 and 302?
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 290 and 302 is 43790.
LCM(290,302) = 43790
Least Common Multiple of 290 and 302 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 290 and 302, than apply into the LCM equation.
GCF(290,302) = 2
LCM(290,302) = ( 290 × 302) / 2
LCM(290,302) = 87580 / 2
LCM(290,302) = 43790
Least Common Multiple (LCM) of 290 and 302 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 290 and 302. First we will calculate the prime factors of 290 and 302.
Prime Factorization of 290
Prime factors of 290 are 2, 5, 29. Prime factorization of 290 in exponential form is:
290 = 21 × 51 × 291
Prime Factorization of 302
Prime factors of 302 are 2, 151. Prime factorization of 302 in exponential form is:
302 = 21 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 290 and 302.
LCM(290,302) = 21 × 51 × 291 × 1511
LCM(290,302) = 43790
Related Least Common Multiples of 290
- LCM of 290 and 294
- LCM of 290 and 295
- LCM of 290 and 296
- LCM of 290 and 297
- LCM of 290 and 298
- LCM of 290 and 299
- LCM of 290 and 300
- LCM of 290 and 301
- LCM of 290 and 302
- LCM of 290 and 303
- LCM of 290 and 304
- LCM of 290 and 305
- LCM of 290 and 306
- LCM of 290 and 307
- LCM of 290 and 308
- LCM of 290 and 309
- LCM of 290 and 310
Related Least Common Multiples of 302
- LCM of 302 and 306
- LCM of 302 and 307
- LCM of 302 and 308
- LCM of 302 and 309
- LCM of 302 and 310
- LCM of 302 and 311
- LCM of 302 and 312
- LCM of 302 and 313
- LCM of 302 and 314
- LCM of 302 and 315
- LCM of 302 and 316
- LCM of 302 and 317
- LCM of 302 and 318
- LCM of 302 and 319
- LCM of 302 and 320
- LCM of 302 and 321
- LCM of 302 and 322