Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4170 and 4174 the smallest integer that is 8702790 that is divisible by both numbers.
Least Common Multiple (LCM) of 4170 and 4174 is 8702790.
LCM(4170,4174) = 8702790
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 4170 and 4174. First we will calculate the prime factors of 4170 and 4174.
Prime Factorization of 4170
2 | 4170 |
3 | 2085 |
5 | 695 |
139 | 139 |
1 |
Prime factors of 4170 are 2, 3, 5,139. Prime factorization of 4170 in exponential form is:
4170 = 21×31×51×1391
Prime Factorization of 4174
2 | 4174 |
2087 | 2087 |
1 |
Prime factors of 4174 are 2,2087. Prime factorization of 4174 in exponential form is:
4174 = 21×20871
Now multiplying the highest exponent prime factors to calculate the LCM of 4170 and 4174.
LCM(4170,4174) = 21×31×51×1391×20871
LCM(4170,4174) = 8702790
Factors of 4170
List of positive integer factors of 4170 that divides 4170 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170
Factors of 4174
List of positive integer factors of 4174 that divides 4174 without a remainder.
1, 2, 2087, 4174
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4170 and 4174, than apply into the LCM equation.
GCF(4170,4174) = 2
LCM(4170,4174) = ( 4170 × 4174) / 2
LCM(4170,4174) = 17405580 / 2
LCM(4170,4174) = 8702790
(i) The LCM of 4174 and 4170 is associative
LCM of 4170 and 4174 = LCM of 4174 and 4170
1. What is the LCM of 4170 and 4174?
Answer: LCM of 4170 and 4174 is 8702790.
2. What are the Factors of 4170?
Answer: Factors of 4170 are 1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170. There are 16 integers that are factors of 4170. The greatest factor of 4170 is 4170.
3. What are the Factors of 4174?
Answer: Factors of 4174 are 1, 2, 2087, 4174. There are 4 integers that are factors of 4174. The greatest factor of 4174 is 4174.
4. How to Find the LCM of 4170 and 4174?
Answer:
Least Common Multiple of 4170 and 4174 = 8702790
Step 1: Find the prime factorization of 4170
4170 = 2 x 3 x 5 x 139
Step 2: Find the prime factorization of 4174
4174 = 2 x 2087
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8702790 = 2 x 3 x 5 x 139 x 2087
Step 4: Therefore, the least common multiple of 4170 and 4174 is 8702790.