Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9059 and 9064 the smallest integer that is 82110776 that is divisible by both numbers.
Least Common Multiple (LCM) of 9059 and 9064 is 82110776.
LCM(9059,9064) = 82110776
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 9059 and 9064. First we will calculate the prime factors of 9059 and 9064.
Prime Factorization of 9059
9059 | 9059 |
1 |
Prime factors of 9059 are 9059. Prime factorization of 9059 in exponential form is:
9059 = 90591
Prime Factorization of 9064
2 | 9064 |
2 | 4532 |
2 | 2266 |
11 | 1133 |
103 | 103 |
1 |
Prime factors of 9064 are 2, 11,103. Prime factorization of 9064 in exponential form is:
9064 = 23×111×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 9059 and 9064.
LCM(9059,9064) = 23×111×1031×90591
LCM(9059,9064) = 82110776
Factors of 9059
List of positive integer factors of 9059 that divides 9059 without a remainder.
1, 9059
Factors of 9064
List of positive integer factors of 9064 that divides 9064 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 103, 206, 412, 824, 1133, 2266, 4532, 9064
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9059 and 9064, than apply into the LCM equation.
GCF(9059,9064) = 1
LCM(9059,9064) = ( 9059 × 9064) / 1
LCM(9059,9064) = 82110776 / 1
LCM(9059,9064) = 82110776
(i) The LCM of 9064 and 9059 is associative
LCM of 9059 and 9064 = LCM of 9064 and 9059
1. What is the LCM of 9059 and 9064?
Answer: LCM of 9059 and 9064 is 82110776.
2. What are the Factors of 9059?
Answer: Factors of 9059 are 1, 9059. There are 2 integers that are factors of 9059. The greatest factor of 9059 is 9059.
3. What are the Factors of 9064?
Answer: Factors of 9064 are 1, 2, 4, 8, 11, 22, 44, 88, 103, 206, 412, 824, 1133, 2266, 4532, 9064. There are 16 integers that are factors of 9064. The greatest factor of 9064 is 9064.
4. How to Find the LCM of 9059 and 9064?
Answer:
Least Common Multiple of 9059 and 9064 = 82110776
Step 1: Find the prime factorization of 9059
9059 = 9059
Step 2: Find the prime factorization of 9064
9064 = 2 x 2 x 2 x 11 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 82110776 = 2 x 2 x 2 x 11 x 103 x 9059
Step 4: Therefore, the least common multiple of 9059 and 9064 is 82110776.