Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2458 and 2466 the smallest integer that is 3030714 that is divisible by both numbers.
Least Common Multiple (LCM) of 2458 and 2466 is 3030714.
LCM(2458,2466) = 3030714
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 2458 and 2466. First we will calculate the prime factors of 2458 and 2466.
Prime Factorization of 2458
2 | 2458 |
1229 | 1229 |
1 |
Prime factors of 2458 are 2,1229. Prime factorization of 2458 in exponential form is:
2458 = 21×12291
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 2458 and 2466.
LCM(2458,2466) = 21×32×1371×12291
LCM(2458,2466) = 3030714
Factors of 2458
List of positive integer factors of 2458 that divides 2458 without a remainder.
1, 2, 1229, 2458
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 2458 and 2466, than apply into the LCM equation.
GCF(2458,2466) = 2
LCM(2458,2466) = ( 2458 × 2466) / 2
LCM(2458,2466) = 6061428 / 2
LCM(2458,2466) = 3030714
(i) The LCM of 2466 and 2458 is associative
LCM of 2458 and 2466 = LCM of 2466 and 2458
1. What is the LCM of 2458 and 2466?
Answer: LCM of 2458 and 2466 is 3030714.
2. What are the Factors of 2458?
Answer: Factors of 2458 are 1, 2, 1229, 2458. There are 4 integers that are factors of 2458. The greatest factor of 2458 is 2458.
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 2458 and 2466?
Answer:
Least Common Multiple of 2458 and 2466 = 3030714
Step 1: Find the prime factorization of 2458
2458 = 2 x 1229
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 = 3030714 = 2 x 3 x 3 x 137 x 1229
Step 4: Therefore, the least common multiple of 2458 and 2466 is 3030714.