What is the Least Common Multiple of 77331 and 77338?
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 77331 and 77338 is 5980624878.
LCM(77331,77338) = 5980624878
Least Common Multiple of 77331 and 77338 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77331 and 77338, than apply into the LCM equation.
GCF(77331,77338) = 1
LCM(77331,77338) = ( 77331 × 77338) / 1
LCM(77331,77338) = 5980624878 / 1
LCM(77331,77338) = 5980624878
Least Common Multiple (LCM) of 77331 and 77338 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77331 and 77338. First we will calculate the prime factors of 77331 and 77338.
Prime Factorization of 77331
Prime factors of 77331 are 3, 149, 173. Prime factorization of 77331 in exponential form is:
77331 = 31 × 1491 × 1731
Prime Factorization of 77338
Prime factors of 77338 are 2, 38669. Prime factorization of 77338 in exponential form is:
77338 = 21 × 386691
Now multiplying the highest exponent prime factors to calculate the LCM of 77331 and 77338.
LCM(77331,77338) = 31 × 1491 × 1731 × 21 × 386691
LCM(77331,77338) = 5980624878
Related Least Common Multiples of 77331
- LCM of 77331 and 77335
- LCM of 77331 and 77336
- LCM of 77331 and 77337
- LCM of 77331 and 77338
- LCM of 77331 and 77339
- LCM of 77331 and 77340
- LCM of 77331 and 77341
- LCM of 77331 and 77342
- LCM of 77331 and 77343
- LCM of 77331 and 77344
- LCM of 77331 and 77345
- LCM of 77331 and 77346
- LCM of 77331 and 77347
- LCM of 77331 and 77348
- LCM of 77331 and 77349
- LCM of 77331 and 77350
- LCM of 77331 and 77351
Related Least Common Multiples of 77338
- LCM of 77338 and 77342
- LCM of 77338 and 77343
- LCM of 77338 and 77344
- LCM of 77338 and 77345
- LCM of 77338 and 77346
- LCM of 77338 and 77347
- LCM of 77338 and 77348
- LCM of 77338 and 77349
- LCM of 77338 and 77350
- LCM of 77338 and 77351
- LCM of 77338 and 77352
- LCM of 77338 and 77353
- LCM of 77338 and 77354
- LCM of 77338 and 77355
- LCM of 77338 and 77356
- LCM of 77338 and 77357
- LCM of 77338 and 77358