Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7085 and 7092 the smallest integer that is 50246820 that is divisible by both numbers.
Least Common Multiple (LCM) of 7085 and 7092 is 50246820.
LCM(7085,7092) = 50246820
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 7085 and 7092. First we will calculate the prime factors of 7085 and 7092.
Prime Factorization of 7085
5 | 7085 |
13 | 1417 |
109 | 109 |
1 |
Prime factors of 7085 are 5, 13,109. Prime factorization of 7085 in exponential form is:
7085 = 51×131×1091
Prime Factorization of 7092
2 | 7092 |
2 | 3546 |
3 | 1773 |
3 | 591 |
197 | 197 |
1 |
Prime factors of 7092 are 2, 3,197. Prime factorization of 7092 in exponential form is:
7092 = 22×32×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 7085 and 7092.
LCM(7085,7092) = 22×32×51×131×1091×1971
LCM(7085,7092) = 50246820
Factors of 7085
List of positive integer factors of 7085 that divides 7085 without a remainder.
1, 5, 13, 65, 109, 545, 1417, 7085
Factors of 7092
List of positive integer factors of 7092 that divides 7092 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 197, 394, 591, 788, 1182, 1773, 2364, 3546, 7092
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7085 and 7092, than apply into the LCM equation.
GCF(7085,7092) = 1
LCM(7085,7092) = ( 7085 × 7092) / 1
LCM(7085,7092) = 50246820 / 1
LCM(7085,7092) = 50246820
(i) The LCM of 7092 and 7085 is associative
LCM of 7085 and 7092 = LCM of 7092 and 7085
1. What is the LCM of 7085 and 7092?
Answer: LCM of 7085 and 7092 is 50246820.
2. What are the Factors of 7085?
Answer: Factors of 7085 are 1, 5, 13, 65, 109, 545, 1417, 7085. There are 8 integers that are factors of 7085. The greatest factor of 7085 is 7085.
3. What are the Factors of 7092?
Answer: Factors of 7092 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 197, 394, 591, 788, 1182, 1773, 2364, 3546, 7092. There are 18 integers that are factors of 7092. The greatest factor of 7092 is 7092.
4. How to Find the LCM of 7085 and 7092?
Answer:
Least Common Multiple of 7085 and 7092 = 50246820
Step 1: Find the prime factorization of 7085
7085 = 5 x 13 x 109
Step 2: Find the prime factorization of 7092
7092 = 2 x 2 x 3 x 3 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50246820 = 2 x 2 x 3 x 3 x 5 x 13 x 109 x 197
Step 4: Therefore, the least common multiple of 7085 and 7092 is 50246820.