Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1086 and 1090 the smallest integer that is 591870 that is divisible by both numbers.
Least Common Multiple (LCM) of 1086 and 1090 is 591870.
LCM(1086,1090) = 591870
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 1086 and 1090. First we will calculate the prime factors of 1086 and 1090.
Prime Factorization of 1086
2 | 1086 |
3 | 543 |
181 | 181 |
1 |
Prime factors of 1086 are 2, 3,181. Prime factorization of 1086 in exponential form is:
1086 = 21×31×1811
Prime Factorization of 1090
2 | 1090 |
5 | 545 |
109 | 109 |
1 |
Prime factors of 1090 are 2, 5,109. Prime factorization of 1090 in exponential form is:
1090 = 21×51×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 1086 and 1090.
LCM(1086,1090) = 21×31×51×1091×1811
LCM(1086,1090) = 591870
Factors of 1086
List of positive integer factors of 1086 that divides 1086 without a remainder.
1, 2, 3, 6, 181, 362, 543, 1086
Factors of 1090
List of positive integer factors of 1090 that divides 1090 without a remainder.
1, 2, 5, 10, 109, 218, 545, 1090
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1086 and 1090, than apply into the LCM equation.
GCF(1086,1090) = 2
LCM(1086,1090) = ( 1086 × 1090) / 2
LCM(1086,1090) = 1183740 / 2
LCM(1086,1090) = 591870
(i) The LCM of 1090 and 1086 is associative
LCM of 1086 and 1090 = LCM of 1090 and 1086
1. What is the LCM of 1086 and 1090?
Answer: LCM of 1086 and 1090 is 591870.
2. What are the Factors of 1086?
Answer: Factors of 1086 are 1, 2, 3, 6, 181, 362, 543, 1086. There are 8 integers that are factors of 1086. The greatest factor of 1086 is 1086.
3. What are the Factors of 1090?
Answer: Factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090. There are 8 integers that are factors of 1090. The greatest factor of 1090 is 1090.
4. How to Find the LCM of 1086 and 1090?
Answer:
Least Common Multiple of 1086 and 1090 = 591870
Step 1: Find the prime factorization of 1086
1086 = 2 x 3 x 181
Step 2: Find the prime factorization of 1090
1090 = 2 x 5 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 591870 = 2 x 3 x 5 x 109 x 181
Step 4: Therefore, the least common multiple of 1086 and 1090 is 591870.