Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1069 and 1074 the smallest integer that is 1148106 that is divisible by both numbers.
Least Common Multiple (LCM) of 1069 and 1074 is 1148106.
LCM(1069,1074) = 1148106
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 1069 and 1074. First we will calculate the prime factors of 1069 and 1074.
Prime Factorization of 1069
1069 | 1069 |
1 |
Prime factors of 1069 are 1069. Prime factorization of 1069 in exponential form is:
1069 = 10691
Prime Factorization of 1074
2 | 1074 |
3 | 537 |
179 | 179 |
1 |
Prime factors of 1074 are 2, 3,179. Prime factorization of 1074 in exponential form is:
1074 = 21×31×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 1069 and 1074.
LCM(1069,1074) = 21×31×1791×10691
LCM(1069,1074) = 1148106
Factors of 1069
List of positive integer factors of 1069 that divides 1069 without a remainder.
1, 1069
Factors of 1074
List of positive integer factors of 1074 that divides 1074 without a remainder.
1, 2, 3, 6, 179, 358, 537, 1074
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1069 and 1074, than apply into the LCM equation.
GCF(1069,1074) = 1
LCM(1069,1074) = ( 1069 × 1074) / 1
LCM(1069,1074) = 1148106 / 1
LCM(1069,1074) = 1148106
(i) The LCM of 1074 and 1069 is associative
LCM of 1069 and 1074 = LCM of 1074 and 1069
1. What is the LCM of 1069 and 1074?
Answer: LCM of 1069 and 1074 is 1148106.
2. What are the Factors of 1069?
Answer: Factors of 1069 are 1, 1069. There are 2 integers that are factors of 1069. The greatest factor of 1069 is 1069.
3. What are the Factors of 1074?
Answer: Factors of 1074 are 1, 2, 3, 6, 179, 358, 537, 1074. There are 8 integers that are factors of 1074. The greatest factor of 1074 is 1074.
4. How to Find the LCM of 1069 and 1074?
Answer:
Least Common Multiple of 1069 and 1074 = 1148106
Step 1: Find the prime factorization of 1069
1069 = 1069
Step 2: Find the prime factorization of 1074
1074 = 2 x 3 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1148106 = 2 x 3 x 179 x 1069
Step 4: Therefore, the least common multiple of 1069 and 1074 is 1148106.