Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7489 and 7493 the smallest integer that is 56115077 that is divisible by both numbers.
Least Common Multiple (LCM) of 7489 and 7493 is 56115077.
LCM(7489,7493) = 56115077
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 7489 and 7493. First we will calculate the prime factors of 7489 and 7493.
Prime Factorization of 7489
7489 | 7489 |
1 |
Prime factors of 7489 are 7489. Prime factorization of 7489 in exponential form is:
7489 = 74891
Prime Factorization of 7493
59 | 7493 |
127 | 127 |
1 |
Prime factors of 7493 are 59,127. Prime factorization of 7493 in exponential form is:
7493 = 591×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 7489 and 7493.
LCM(7489,7493) = 591×1271×74891
LCM(7489,7493) = 56115077
Factors of 7489
List of positive integer factors of 7489 that divides 7489 without a remainder.
1, 7489
Factors of 7493
List of positive integer factors of 7493 that divides 7493 without a remainder.
1, 59, 127, 7493
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7489 and 7493, than apply into the LCM equation.
GCF(7489,7493) = 1
LCM(7489,7493) = ( 7489 × 7493) / 1
LCM(7489,7493) = 56115077 / 1
LCM(7489,7493) = 56115077
(i) The LCM of 7493 and 7489 is associative
LCM of 7489 and 7493 = LCM of 7493 and 7489
1. What is the LCM of 7489 and 7493?
Answer: LCM of 7489 and 7493 is 56115077.
2. What are the Factors of 7489?
Answer: Factors of 7489 are 1, 7489. There are 2 integers that are factors of 7489. The greatest factor of 7489 is 7489.
3. What are the Factors of 7493?
Answer: Factors of 7493 are 1, 59, 127, 7493. There are 4 integers that are factors of 7493. The greatest factor of 7493 is 7493.
4. How to Find the LCM of 7489 and 7493?
Answer:
Least Common Multiple of 7489 and 7493 = 56115077
Step 1: Find the prime factorization of 7489
7489 = 7489
Step 2: Find the prime factorization of 7493
7493 = 59 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56115077 = 59 x 127 x 7489
Step 4: Therefore, the least common multiple of 7489 and 7493 is 56115077.