Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 11070 and 11076 the smallest integer that is 20435220 that is divisible by both numbers.
Least Common Multiple (LCM) of 11070 and 11076 is 20435220.
LCM(11070,11076) = 20435220
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 11070 and 11076. First we will calculate the prime factors of 11070 and 11076.
Prime Factorization of 11070
2 | 11070 |
3 | 5535 |
3 | 1845 |
3 | 615 |
5 | 205 |
41 | 41 |
1 |
Prime factors of 11070 are 2, 3, 5,41. Prime factorization of 11070 in exponential form is:
11070 = 21×33×51×411
Prime Factorization of 11076
2 | 11076 |
2 | 5538 |
3 | 2769 |
13 | 923 |
71 | 71 |
1 |
Prime factors of 11076 are 2, 3, 13,71. Prime factorization of 11076 in exponential form is:
11076 = 22×31×131×711
Now multiplying the highest exponent prime factors to calculate the LCM of 11070 and 11076.
LCM(11070,11076) = 22×33×51×131×411×711
LCM(11070,11076) = 20435220
Factors of 11070
List of positive integer factors of 11070 that divides 11070 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 41, 45, 54, 82, 90, 123, 135, 205, 246, 270, 369, 410, 615, 738, 1107, 1230, 1845, 2214, 3690, 5535, 11070
Factors of 11076
List of positive integer factors of 11076 that divides 11076 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 71, 78, 142, 156, 213, 284, 426, 852, 923, 1846, 2769, 3692, 5538, 11076
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11070 and 11076, than apply into the LCM equation.
GCF(11070,11076) = 6
LCM(11070,11076) = ( 11070 × 11076) / 6
LCM(11070,11076) = 122611320 / 6
LCM(11070,11076) = 20435220
(i) The LCM of 11076 and 11070 is associative
LCM of 11070 and 11076 = LCM of 11076 and 11070
1. What is the LCM of 11070 and 11076?
Answer: LCM of 11070 and 11076 is 20435220.
2. What are the Factors of 11070?
Answer: Factors of 11070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 41, 45, 54, 82, 90, 123, 135, 205, 246, 270, 369, 410, 615, 738, 1107, 1230, 1845, 2214, 3690, 5535, 11070. There are 32 integers that are factors of 11070. The greatest factor of 11070 is 11070.
3. What are the Factors of 11076?
Answer: Factors of 11076 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 71, 78, 142, 156, 213, 284, 426, 852, 923, 1846, 2769, 3692, 5538, 11076. There are 24 integers that are factors of 11076. The greatest factor of 11076 is 11076.
4. How to Find the LCM of 11070 and 11076?
Answer:
Least Common Multiple of 11070 and 11076 = 20435220
Step 1: Find the prime factorization of 11070
11070 = 2 x 3 x 3 x 3 x 5 x 41
Step 2: Find the prime factorization of 11076
11076 = 2 x 2 x 3 x 13 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20435220 = 2 x 2 x 3 x 3 x 3 x 5 x 13 x 41 x 71
Step 4: Therefore, the least common multiple of 11070 and 11076 is 20435220.