Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4166 and 4174 the smallest integer that is 8694442 that is divisible by both numbers.
Least Common Multiple (LCM) of 4166 and 4174 is 8694442.
LCM(4166,4174) = 8694442
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 4166 and 4174. First we will calculate the prime factors of 4166 and 4174.
Prime Factorization of 4166
2 | 4166 |
2083 | 2083 |
1 |
Prime factors of 4166 are 2,2083. Prime factorization of 4166 in exponential form is:
4166 = 21×20831
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 4166 and 4174.
LCM(4166,4174) = 21×20831×20871
LCM(4166,4174) = 8694442
Factors of 4166
List of positive integer factors of 4166 that divides 4166 without a remainder.
1, 2, 2083, 4166
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 4166 and 4174, than apply into the LCM equation.
GCF(4166,4174) = 2
LCM(4166,4174) = ( 4166 × 4174) / 2
LCM(4166,4174) = 17388884 / 2
LCM(4166,4174) = 8694442
(i) The LCM of 4174 and 4166 is associative
LCM of 4166 and 4174 = LCM of 4174 and 4166
1. What is the LCM of 4166 and 4174?
Answer: LCM of 4166 and 4174 is 8694442.
2. What are the Factors of 4166?
Answer: Factors of 4166 are 1, 2, 2083, 4166. There are 4 integers that are factors of 4166. The greatest factor of 4166 is 4166.
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 4166 and 4174?
Answer:
Least Common Multiple of 4166 and 4174 = 8694442
Step 1: Find the prime factorization of 4166
4166 = 2 x 2083
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 = 8694442 = 2 x 2083 x 2087
Step 4: Therefore, the least common multiple of 4166 and 4174 is 8694442.