Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4278 and 4282 the smallest integer that is 9159198 that is divisible by both numbers.
Least Common Multiple (LCM) of 4278 and 4282 is 9159198.
LCM(4278,4282) = 9159198
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 4278 and 4282. First we will calculate the prime factors of 4278 and 4282.
Prime Factorization of 4278
2 | 4278 |
3 | 2139 |
23 | 713 |
31 | 31 |
1 |
Prime factors of 4278 are 2, 3, 23,31. Prime factorization of 4278 in exponential form is:
4278 = 21×31×231×311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4278 and 4282.
LCM(4278,4282) = 21×31×231×311×21411
LCM(4278,4282) = 9159198
Factors of 4278
List of positive integer factors of 4278 that divides 4278 without a remainder.
1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139, 4278
Factors of 4282
List of positive integer factors of 4282 that divides 4282 without a remainder.
1, 2, 2141, 4282
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4278 and 4282, than apply into the LCM equation.
GCF(4278,4282) = 2
LCM(4278,4282) = ( 4278 × 4282) / 2
LCM(4278,4282) = 18318396 / 2
LCM(4278,4282) = 9159198
(i) The LCM of 4282 and 4278 is associative
LCM of 4278 and 4282 = LCM of 4282 and 4278
1. What is the LCM of 4278 and 4282?
Answer: LCM of 4278 and 4282 is 9159198.
2. What are the Factors of 4278?
Answer: Factors of 4278 are 1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139, 4278. There are 16 integers that are factors of 4278. The greatest factor of 4278 is 4278.
3. 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.
4. How to Find the LCM of 4278 and 4282?
Answer:
Least Common Multiple of 4278 and 4282 = 9159198
Step 1: Find the prime factorization of 4278
4278 = 2 x 3 x 23 x 31
Step 2: Find the prime factorization of 4282
4282 = 2 x 2141
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9159198 = 2 x 3 x 23 x 31 x 2141
Step 4: Therefore, the least common multiple of 4278 and 4282 is 9159198.