Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 11069 and 11074 the smallest integer that is 122578106 that is divisible by both numbers.
Least Common Multiple (LCM) of 11069 and 11074 is 122578106.
LCM(11069,11074) = 122578106
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 11069 and 11074. First we will calculate the prime factors of 11069 and 11074.
Prime Factorization of 11069
11069 | 11069 |
1 |
Prime factors of 11069 are 11069. Prime factorization of 11069 in exponential form is:
11069 = 110691
Prime Factorization of 11074
2 | 11074 |
7 | 5537 |
7 | 791 |
113 | 113 |
1 |
Prime factors of 11074 are 2, 7,113. Prime factorization of 11074 in exponential form is:
11074 = 21×72×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 11069 and 11074.
LCM(11069,11074) = 21×72×1131×110691
LCM(11069,11074) = 122578106
Factors of 11069
List of positive integer factors of 11069 that divides 11069 without a remainder.
1, 11069
Factors of 11074
List of positive integer factors of 11074 that divides 11074 without a remainder.
1, 2, 7, 14, 49, 98, 113, 226, 791, 1582, 5537, 11074
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11069 and 11074, than apply into the LCM equation.
GCF(11069,11074) = 1
LCM(11069,11074) = ( 11069 × 11074) / 1
LCM(11069,11074) = 122578106 / 1
LCM(11069,11074) = 122578106
(i) The LCM of 11074 and 11069 is associative
LCM of 11069 and 11074 = LCM of 11074 and 11069
1. What is the LCM of 11069 and 11074?
Answer: LCM of 11069 and 11074 is 122578106.
2. What are the Factors of 11069?
Answer: Factors of 11069 are 1, 11069. There are 2 integers that are factors of 11069. The greatest factor of 11069 is 11069.
3. What are the Factors of 11074?
Answer: Factors of 11074 are 1, 2, 7, 14, 49, 98, 113, 226, 791, 1582, 5537, 11074. There are 12 integers that are factors of 11074. The greatest factor of 11074 is 11074.
4. How to Find the LCM of 11069 and 11074?
Answer:
Least Common Multiple of 11069 and 11074 = 122578106
Step 1: Find the prime factorization of 11069
11069 = 11069
Step 2: Find the prime factorization of 11074
11074 = 2 x 7 x 7 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 122578106 = 2 x 7 x 7 x 113 x 11069
Step 4: Therefore, the least common multiple of 11069 and 11074 is 122578106.