What is the Least Common Multiple of 19338 and 19355?
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 19338 and 19355 is 374286990.
LCM(19338,19355) = 374286990
Least Common Multiple of 19338 and 19355 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19338 and 19355, than apply into the LCM equation.
GCF(19338,19355) = 1
LCM(19338,19355) = ( 19338 × 19355) / 1
LCM(19338,19355) = 374286990 / 1
LCM(19338,19355) = 374286990
Least Common Multiple (LCM) of 19338 and 19355 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19338 and 19355. First we will calculate the prime factors of 19338 and 19355.
Prime Factorization of 19338
Prime factors of 19338 are 2, 3, 11, 293. Prime factorization of 19338 in exponential form is:
19338 = 21 × 31 × 111 × 2931
Prime Factorization of 19355
Prime factors of 19355 are 5, 7, 79. Prime factorization of 19355 in exponential form is:
19355 = 51 × 72 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 19338 and 19355.
LCM(19338,19355) = 21 × 31 × 111 × 2931 × 51 × 72 × 791
LCM(19338,19355) = 374286990
Related Least Common Multiples of 19338
- LCM of 19338 and 19342
- LCM of 19338 and 19343
- LCM of 19338 and 19344
- LCM of 19338 and 19345
- LCM of 19338 and 19346
- LCM of 19338 and 19347
- LCM of 19338 and 19348
- LCM of 19338 and 19349
- LCM of 19338 and 19350
- LCM of 19338 and 19351
- LCM of 19338 and 19352
- LCM of 19338 and 19353
- LCM of 19338 and 19354
- LCM of 19338 and 19355
- LCM of 19338 and 19356
- LCM of 19338 and 19357
- LCM of 19338 and 19358
Related Least Common Multiples of 19355
- LCM of 19355 and 19359
- LCM of 19355 and 19360
- LCM of 19355 and 19361
- LCM of 19355 and 19362
- LCM of 19355 and 19363
- LCM of 19355 and 19364
- LCM of 19355 and 19365
- LCM of 19355 and 19366
- LCM of 19355 and 19367
- LCM of 19355 and 19368
- LCM of 19355 and 19369
- LCM of 19355 and 19370
- LCM of 19355 and 19371
- LCM of 19355 and 19372
- LCM of 19355 and 19373
- LCM of 19355 and 19374
- LCM of 19355 and 19375