Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7640 and 7643 the smallest integer that is 58392520 that is divisible by both numbers.
Least Common Multiple (LCM) of 7640 and 7643 is 58392520.
LCM(7640,7643) = 58392520
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 7640 and 7643. First we will calculate the prime factors of 7640 and 7643.
Prime Factorization of 7640
2 | 7640 |
2 | 3820 |
2 | 1910 |
5 | 955 |
191 | 191 |
1 |
Prime factors of 7640 are 2, 5,191. Prime factorization of 7640 in exponential form is:
7640 = 23×51×1911
Prime Factorization of 7643
7643 | 7643 |
1 |
Prime factors of 7643 are 7643. Prime factorization of 7643 in exponential form is:
7643 = 76431
Now multiplying the highest exponent prime factors to calculate the LCM of 7640 and 7643.
LCM(7640,7643) = 23×51×1911×76431
LCM(7640,7643) = 58392520
Factors of 7640
List of positive integer factors of 7640 that divides 7640 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640
Factors of 7643
List of positive integer factors of 7643 that divides 7643 without a remainder.
1, 7643
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7640 and 7643, than apply into the LCM equation.
GCF(7640,7643) = 1
LCM(7640,7643) = ( 7640 × 7643) / 1
LCM(7640,7643) = 58392520 / 1
LCM(7640,7643) = 58392520
(i) The LCM of 7643 and 7640 is associative
LCM of 7640 and 7643 = LCM of 7643 and 7640
1. What is the LCM of 7640 and 7643?
Answer: LCM of 7640 and 7643 is 58392520.
2. What are the Factors of 7640?
Answer: Factors of 7640 are 1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640. There are 16 integers that are factors of 7640. The greatest factor of 7640 is 7640.
3. What are the Factors of 7643?
Answer: Factors of 7643 are 1, 7643. There are 2 integers that are factors of 7643. The greatest factor of 7643 is 7643.
4. How to Find the LCM of 7640 and 7643?
Answer:
Least Common Multiple of 7640 and 7643 = 58392520
Step 1: Find the prime factorization of 7640
7640 = 2 x 2 x 2 x 5 x 191
Step 2: Find the prime factorization of 7643
7643 = 7643
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58392520 = 2 x 2 x 2 x 5 x 191 x 7643
Step 4: Therefore, the least common multiple of 7640 and 7643 is 58392520.