Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4282 and 4286 the smallest integer that is 9176326 that is divisible by both numbers.
Least Common Multiple (LCM) of 4282 and 4286 is 9176326.
LCM(4282,4286) = 9176326
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 4282 and 4286. First we will calculate the prime factors of 4282 and 4286.
Prime Factorization of 4282
2 | 4282 |
2141 | 2141 |
1 |
Prime factors of 4282 are 2,2141. Prime factorization of 4282 in exponential form is:
4282 = 21×21411
Prime Factorization of 4286
2 | 4286 |
2143 | 2143 |
1 |
Prime factors of 4286 are 2,2143. Prime factorization of 4286 in exponential form is:
4286 = 21×21431
Now multiplying the highest exponent prime factors to calculate the LCM of 4282 and 4286.
LCM(4282,4286) = 21×21411×21431
LCM(4282,4286) = 9176326
Factors of 4282
List of positive integer factors of 4282 that divides 4282 without a remainder.
1, 2, 2141, 4282
Factors of 4286
List of positive integer factors of 4286 that divides 4286 without a remainder.
1, 2, 2143, 4286
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4282 and 4286, than apply into the LCM equation.
GCF(4282,4286) = 2
LCM(4282,4286) = ( 4282 × 4286) / 2
LCM(4282,4286) = 18352652 / 2
LCM(4282,4286) = 9176326
(i) The LCM of 4286 and 4282 is associative
LCM of 4282 and 4286 = LCM of 4286 and 4282
1. What is the LCM of 4282 and 4286?
Answer: LCM of 4282 and 4286 is 9176326.
2. What are the Factors of 4282?
Answer: Factors of 4282 are 1, 2, 2141, 4282. There are 4 integers that are factors of 4282. The greatest factor of 4282 is 4282.
3. What are the Factors of 4286?
Answer: Factors of 4286 are 1, 2, 2143, 4286. There are 4 integers that are factors of 4286. The greatest factor of 4286 is 4286.
4. How to Find the LCM of 4282 and 4286?
Answer:
Least Common Multiple of 4282 and 4286 = 9176326
Step 1: Find the prime factorization of 4282
4282 = 2 x 2141
Step 2: Find the prime factorization of 4286
4286 = 2 x 2143
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9176326 = 2 x 2141 x 2143
Step 4: Therefore, the least common multiple of 4282 and 4286 is 9176326.