Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2467 and 2473 the smallest integer that is 6100891 that is divisible by both numbers.
Least Common Multiple (LCM) of 2467 and 2473 is 6100891.
LCM(2467,2473) = 6100891
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 2467 and 2473. First we will calculate the prime factors of 2467 and 2473.
Prime Factorization of 2467
2467 | 2467 |
1 |
Prime factors of 2467 are 2467. Prime factorization of 2467 in exponential form is:
2467 = 24671
Prime Factorization of 2473
2473 | 2473 |
1 |
Prime factors of 2473 are 2473. Prime factorization of 2473 in exponential form is:
2473 = 24731
Now multiplying the highest exponent prime factors to calculate the LCM of 2467 and 2473.
LCM(2467,2473) = 24671×24731
LCM(2467,2473) = 6100891
Factors of 2467
List of positive integer factors of 2467 that divides 2467 without a remainder.
1, 2467
Factors of 2473
List of positive integer factors of 2473 that divides 2473 without a remainder.
1, 2473
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2467 and 2473, than apply into the LCM equation.
GCF(2467,2473) = 1
LCM(2467,2473) = ( 2467 × 2473) / 1
LCM(2467,2473) = 6100891 / 1
LCM(2467,2473) = 6100891
(i) The LCM of 2473 and 2467 is associative
LCM of 2467 and 2473 = LCM of 2473 and 2467
1. What is the LCM of 2467 and 2473?
Answer: LCM of 2467 and 2473 is 6100891.
2. What are the Factors of 2467?
Answer: Factors of 2467 are 1, 2467. There are 2 integers that are factors of 2467. The greatest factor of 2467 is 2467.
3. What are the Factors of 2473?
Answer: Factors of 2473 are 1, 2473. There are 2 integers that are factors of 2473. The greatest factor of 2473 is 2473.
4. How to Find the LCM of 2467 and 2473?
Answer:
Least Common Multiple of 2467 and 2473 = 6100891
Step 1: Find the prime factorization of 2467
2467 = 2467
Step 2: Find the prime factorization of 2473
2473 = 2473
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6100891 = 2467 x 2473
Step 4: Therefore, the least common multiple of 2467 and 2473 is 6100891.