Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2462 and 2466 the smallest integer that is 3035646 that is divisible by both numbers.
Least Common Multiple (LCM) of 2462 and 2466 is 3035646.
LCM(2462,2466) = 3035646
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 2462 and 2466. First we will calculate the prime factors of 2462 and 2466.
Prime Factorization of 2462
2 | 2462 |
1231 | 1231 |
1 |
Prime factors of 2462 are 2,1231. Prime factorization of 2462 in exponential form is:
2462 = 21×12311
Prime Factorization of 2466
2 | 2466 |
3 | 1233 |
3 | 411 |
137 | 137 |
1 |
Prime factors of 2466 are 2, 3,137. Prime factorization of 2466 in exponential form is:
2466 = 21×32×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 2462 and 2466.
LCM(2462,2466) = 21×32×1371×12311
LCM(2462,2466) = 3035646
Factors of 2462
List of positive integer factors of 2462 that divides 2462 without a remainder.
1, 2, 1231, 2462
Factors of 2466
List of positive integer factors of 2466 that divides 2466 without a remainder.
1, 2, 3, 6, 9, 18, 137, 274, 411, 822, 1233, 2466
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2462 and 2466, than apply into the LCM equation.
GCF(2462,2466) = 2
LCM(2462,2466) = ( 2462 × 2466) / 2
LCM(2462,2466) = 6071292 / 2
LCM(2462,2466) = 3035646
(i) The LCM of 2466 and 2462 is associative
LCM of 2462 and 2466 = LCM of 2466 and 2462
1. What is the LCM of 2462 and 2466?
Answer: LCM of 2462 and 2466 is 3035646.
2. What are the Factors of 2462?
Answer: Factors of 2462 are 1, 2, 1231, 2462. There are 4 integers that are factors of 2462. The greatest factor of 2462 is 2462.
3. What are the Factors of 2466?
Answer: Factors of 2466 are 1, 2, 3, 6, 9, 18, 137, 274, 411, 822, 1233, 2466. There are 12 integers that are factors of 2466. The greatest factor of 2466 is 2466.
4. How to Find the LCM of 2462 and 2466?
Answer:
Least Common Multiple of 2462 and 2466 = 3035646
Step 1: Find the prime factorization of 2462
2462 = 2 x 1231
Step 2: Find the prime factorization of 2466
2466 = 2 x 3 x 3 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3035646 = 2 x 3 x 3 x 137 x 1231
Step 4: Therefore, the least common multiple of 2462 and 2466 is 3035646.