Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2451 and 2458 the smallest integer that is 6024558 that is divisible by both numbers.
Least Common Multiple (LCM) of 2451 and 2458 is 6024558.
LCM(2451,2458) = 6024558
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 2451 and 2458. First we will calculate the prime factors of 2451 and 2458.
Prime Factorization of 2451
3 | 2451 |
19 | 817 |
43 | 43 |
1 |
Prime factors of 2451 are 3, 19,43. Prime factorization of 2451 in exponential form is:
2451 = 31×191×431
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2451 and 2458.
LCM(2451,2458) = 21×31×191×431×12291
LCM(2451,2458) = 6024558
Factors of 2451
List of positive integer factors of 2451 that divides 2451 without a remainder.
1, 3, 19, 43, 57, 129, 817, 2451
Factors of 2458
List of positive integer factors of 2458 that divides 2458 without a remainder.
1, 2, 1229, 2458
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2451 and 2458, than apply into the LCM equation.
GCF(2451,2458) = 1
LCM(2451,2458) = ( 2451 × 2458) / 1
LCM(2451,2458) = 6024558 / 1
LCM(2451,2458) = 6024558
(i) The LCM of 2458 and 2451 is associative
LCM of 2451 and 2458 = LCM of 2458 and 2451
1. What is the LCM of 2451 and 2458?
Answer: LCM of 2451 and 2458 is 6024558.
2. What are the Factors of 2451?
Answer: Factors of 2451 are 1, 3, 19, 43, 57, 129, 817, 2451. There are 8 integers that are factors of 2451. The greatest factor of 2451 is 2451.
3. 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.
4. How to Find the LCM of 2451 and 2458?
Answer:
Least Common Multiple of 2451 and 2458 = 6024558
Step 1: Find the prime factorization of 2451
2451 = 3 x 19 x 43
Step 2: Find the prime factorization of 2458
2458 = 2 x 1229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6024558 = 2 x 3 x 19 x 43 x 1229
Step 4: Therefore, the least common multiple of 2451 and 2458 is 6024558.