What is the Least Common Multiple of 298 and 308?
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 298 and 308 is 45892.
LCM(298,308) = 45892
Least Common Multiple of 298 and 308 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 298 and 308, than apply into the LCM equation.
GCF(298,308) = 2
LCM(298,308) = ( 298 × 308) / 2
LCM(298,308) = 91784 / 2
LCM(298,308) = 45892
Least Common Multiple (LCM) of 298 and 308 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 298 and 308. First we will calculate the prime factors of 298 and 308.
Prime Factorization of 298
Prime factors of 298 are 2, 149. Prime factorization of 298 in exponential form is:
298 = 21 × 1491
Prime Factorization of 308
Prime factors of 308 are 2, 7, 11. Prime factorization of 308 in exponential form is:
308 = 22 × 71 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 298 and 308.
LCM(298,308) = 22 × 1491 × 71 × 111
LCM(298,308) = 45892
Related Least Common Multiples of 298
- LCM of 298 and 302
- LCM of 298 and 303
- LCM of 298 and 304
- LCM of 298 and 305
- LCM of 298 and 306
- LCM of 298 and 307
- LCM of 298 and 308
- LCM of 298 and 309
- LCM of 298 and 310
- LCM of 298 and 311
- LCM of 298 and 312
- LCM of 298 and 313
- LCM of 298 and 314
- LCM of 298 and 315
- LCM of 298 and 316
- LCM of 298 and 317
- LCM of 298 and 318
Related Least Common Multiples of 308
- LCM of 308 and 312
- LCM of 308 and 313
- LCM of 308 and 314
- LCM of 308 and 315
- LCM of 308 and 316
- LCM of 308 and 317
- LCM of 308 and 318
- LCM of 308 and 319
- LCM of 308 and 320
- LCM of 308 and 321
- LCM of 308 and 322
- LCM of 308 and 323
- LCM of 308 and 324
- LCM of 308 and 325
- LCM of 308 and 326
- LCM of 308 and 327
- LCM of 308 and 328