Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8371 and 8376 the smallest integer that is 70115496 that is divisible by both numbers.
Least Common Multiple (LCM) of 8371 and 8376 is 70115496.
LCM(8371,8376) = 70115496
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8371 and 8376. First we will calculate the prime factors of 8371 and 8376.
Prime Factorization of 8371
11 | 8371 |
761 | 761 |
1 |
Prime factors of 8371 are 11,761. Prime factorization of 8371 in exponential form is:
8371 = 111×7611
Prime Factorization of 8376
2 | 8376 |
2 | 4188 |
2 | 2094 |
3 | 1047 |
349 | 349 |
1 |
Prime factors of 8376 are 2, 3,349. Prime factorization of 8376 in exponential form is:
8376 = 23×31×3491
Now multiplying the highest exponent prime factors to calculate the LCM of 8371 and 8376.
LCM(8371,8376) = 23×31×111×3491×7611
LCM(8371,8376) = 70115496
Factors of 8371
List of positive integer factors of 8371 that divides 8371 without a remainder.
1, 11, 761, 8371
Factors of 8376
List of positive integer factors of 8376 that divides 8376 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8371 and 8376, than apply into the LCM equation.
GCF(8371,8376) = 1
LCM(8371,8376) = ( 8371 × 8376) / 1
LCM(8371,8376) = 70115496 / 1
LCM(8371,8376) = 70115496
(i) The LCM of 8376 and 8371 is associative
LCM of 8371 and 8376 = LCM of 8376 and 8371
1. What is the LCM of 8371 and 8376?
Answer: LCM of 8371 and 8376 is 70115496.
2. What are the Factors of 8371?
Answer: Factors of 8371 are 1, 11, 761, 8371. There are 4 integers that are factors of 8371. The greatest factor of 8371 is 8371.
3. What are the Factors of 8376?
Answer: Factors of 8376 are 1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376. There are 16 integers that are factors of 8376. The greatest factor of 8376 is 8376.
4. How to Find the LCM of 8371 and 8376?
Answer:
Least Common Multiple of 8371 and 8376 = 70115496
Step 1: Find the prime factorization of 8371
8371 = 11 x 761
Step 2: Find the prime factorization of 8376
8376 = 2 x 2 x 2 x 3 x 349
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 70115496 = 2 x 2 x 2 x 3 x 11 x 349 x 761
Step 4: Therefore, the least common multiple of 8371 and 8376 is 70115496.