Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1075 and 1079 the smallest integer that is 1159925 that is divisible by both numbers.
Least Common Multiple (LCM) of 1075 and 1079 is 1159925.
LCM(1075,1079) = 1159925
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 1075 and 1079. First we will calculate the prime factors of 1075 and 1079.
Prime Factorization of 1075
5 | 1075 |
5 | 215 |
43 | 43 |
1 |
Prime factors of 1075 are 5,43. Prime factorization of 1075 in exponential form is:
1075 = 52×431
Prime Factorization of 1079
13 | 1079 |
83 | 83 |
1 |
Prime factors of 1079 are 13,83. Prime factorization of 1079 in exponential form is:
1079 = 131×831
Now multiplying the highest exponent prime factors to calculate the LCM of 1075 and 1079.
LCM(1075,1079) = 52×131×431×831
LCM(1075,1079) = 1159925
Factors of 1075
List of positive integer factors of 1075 that divides 1075 without a remainder.
1, 5, 25, 43, 215, 1075
Factors of 1079
List of positive integer factors of 1079 that divides 1079 without a remainder.
1, 13, 83, 1079
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1075 and 1079, than apply into the LCM equation.
GCF(1075,1079) = 1
LCM(1075,1079) = ( 1075 × 1079) / 1
LCM(1075,1079) = 1159925 / 1
LCM(1075,1079) = 1159925
(i) The LCM of 1079 and 1075 is associative
LCM of 1075 and 1079 = LCM of 1079 and 1075
1. What is the LCM of 1075 and 1079?
Answer: LCM of 1075 and 1079 is 1159925.
2. What are the Factors of 1075?
Answer: Factors of 1075 are 1, 5, 25, 43, 215, 1075. There are 6 integers that are factors of 1075. The greatest factor of 1075 is 1075.
3. What are the Factors of 1079?
Answer: Factors of 1079 are 1, 13, 83, 1079. There are 4 integers that are factors of 1079. The greatest factor of 1079 is 1079.
4. How to Find the LCM of 1075 and 1079?
Answer:
Least Common Multiple of 1075 and 1079 = 1159925
Step 1: Find the prime factorization of 1075
1075 = 5 x 5 x 43
Step 2: Find the prime factorization of 1079
1079 = 13 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1159925 = 5 x 5 x 13 x 43 x 83
Step 4: Therefore, the least common multiple of 1075 and 1079 is 1159925.