What is the Least Common Multiple of 294 and 298?
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 294 and 298 is 43806.
LCM(294,298) = 43806
Least Common Multiple of 294 and 298 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 294 and 298, than apply into the LCM equation.
GCF(294,298) = 2
LCM(294,298) = ( 294 × 298) / 2
LCM(294,298) = 87612 / 2
LCM(294,298) = 43806
Least Common Multiple (LCM) of 294 and 298 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 294 and 298. First we will calculate the prime factors of 294 and 298.
Prime Factorization of 294
Prime factors of 294 are 2, 3, 7. Prime factorization of 294 in exponential form is:
294 = 21 × 31 × 72
Prime Factorization of 298
Prime factors of 298 are 2, 149. Prime factorization of 298 in exponential form is:
298 = 21 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 294 and 298.
LCM(294,298) = 21 × 31 × 72 × 1491
LCM(294,298) = 43806
Related Least Common Multiples of 294
- LCM of 294 and 298
- LCM of 294 and 299
- LCM of 294 and 300
- LCM of 294 and 301
- LCM of 294 and 302
- LCM of 294 and 303
- LCM of 294 and 304
- LCM of 294 and 305
- LCM of 294 and 306
- LCM of 294 and 307
- LCM of 294 and 308
- LCM of 294 and 309
- LCM of 294 and 310
- LCM of 294 and 311
- LCM of 294 and 312
- LCM of 294 and 313
- LCM of 294 and 314
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