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 2455 the smallest integer that is 6017205 that is divisible by both numbers.
Least Common Multiple (LCM) of 2451 and 2455 is 6017205.
LCM(2451,2455) = 6017205
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 2455. First we will calculate the prime factors of 2451 and 2455.
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 2455
5 | 2455 |
491 | 491 |
1 |
Prime factors of 2455 are 5,491. Prime factorization of 2455 in exponential form is:
2455 = 51×4911
Now multiplying the highest exponent prime factors to calculate the LCM of 2451 and 2455.
LCM(2451,2455) = 31×51×191×431×4911
LCM(2451,2455) = 6017205
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 2455
List of positive integer factors of 2455 that divides 2455 without a remainder.
1, 5, 491, 2455
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2451 and 2455, than apply into the LCM equation.
GCF(2451,2455) = 1
LCM(2451,2455) = ( 2451 × 2455) / 1
LCM(2451,2455) = 6017205 / 1
LCM(2451,2455) = 6017205
(i) The LCM of 2455 and 2451 is associative
LCM of 2451 and 2455 = LCM of 2455 and 2451
1. What is the LCM of 2451 and 2455?
Answer: LCM of 2451 and 2455 is 6017205.
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 2455?
Answer: Factors of 2455 are 1, 5, 491, 2455. There are 4 integers that are factors of 2455. The greatest factor of 2455 is 2455.
4. How to Find the LCM of 2451 and 2455?
Answer:
Least Common Multiple of 2451 and 2455 = 6017205
Step 1: Find the prime factorization of 2451
2451 = 3 x 19 x 43
Step 2: Find the prime factorization of 2455
2455 = 5 x 491
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6017205 = 3 x 5 x 19 x 43 x 491
Step 4: Therefore, the least common multiple of 2451 and 2455 is 6017205.