Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2473 and 2480 the smallest integer that is 6133040 that is divisible by both numbers.
Least Common Multiple (LCM) of 2473 and 2480 is 6133040.
LCM(2473,2480) = 6133040
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 2473 and 2480. First we will calculate the prime factors of 2473 and 2480.
Prime Factorization of 2473
2473 | 2473 |
1 |
Prime factors of 2473 are 2473. Prime factorization of 2473 in exponential form is:
2473 = 24731
Prime Factorization of 2480
2 | 2480 |
2 | 1240 |
2 | 620 |
2 | 310 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 2480 are 2, 5,31. Prime factorization of 2480 in exponential form is:
2480 = 24×51×311
Now multiplying the highest exponent prime factors to calculate the LCM of 2473 and 2480.
LCM(2473,2480) = 24×51×311×24731
LCM(2473,2480) = 6133040
Factors of 2473
List of positive integer factors of 2473 that divides 2473 without a remainder.
1, 2473
Factors of 2480
List of positive integer factors of 2480 that divides 2480 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 31, 40, 62, 80, 124, 155, 248, 310, 496, 620, 1240, 2480
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2473 and 2480, than apply into the LCM equation.
GCF(2473,2480) = 1
LCM(2473,2480) = ( 2473 × 2480) / 1
LCM(2473,2480) = 6133040 / 1
LCM(2473,2480) = 6133040
(i) The LCM of 2480 and 2473 is associative
LCM of 2473 and 2480 = LCM of 2480 and 2473
1. What is the LCM of 2473 and 2480?
Answer: LCM of 2473 and 2480 is 6133040.
2. 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.
3. What are the Factors of 2480?
Answer: Factors of 2480 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 40, 62, 80, 124, 155, 248, 310, 496, 620, 1240, 2480. There are 20 integers that are factors of 2480. The greatest factor of 2480 is 2480.
4. How to Find the LCM of 2473 and 2480?
Answer:
Least Common Multiple of 2473 and 2480 = 6133040
Step 1: Find the prime factorization of 2473
2473 = 2473
Step 2: Find the prime factorization of 2480
2480 = 2 x 2 x 2 x 2 x 5 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6133040 = 2 x 2 x 2 x 2 x 5 x 31 x 2473
Step 4: Therefore, the least common multiple of 2473 and 2480 is 6133040.