Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7892 and 7900 the smallest integer that is 15586700 that is divisible by both numbers.
Least Common Multiple (LCM) of 7892 and 7900 is 15586700.
LCM(7892,7900) = 15586700
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 7892 and 7900. First we will calculate the prime factors of 7892 and 7900.
Prime Factorization of 7892
2 | 7892 |
2 | 3946 |
1973 | 1973 |
1 |
Prime factors of 7892 are 2,1973. Prime factorization of 7892 in exponential form is:
7892 = 22×19731
Prime Factorization of 7900
2 | 7900 |
2 | 3950 |
5 | 1975 |
5 | 395 |
79 | 79 |
1 |
Prime factors of 7900 are 2, 5,79. Prime factorization of 7900 in exponential form is:
7900 = 22×52×791
Now multiplying the highest exponent prime factors to calculate the LCM of 7892 and 7900.
LCM(7892,7900) = 22×52×791×19731
LCM(7892,7900) = 15586700
Factors of 7892
List of positive integer factors of 7892 that divides 7892 without a remainder.
1, 2, 4, 1973, 3946, 7892
Factors of 7900
List of positive integer factors of 7900 that divides 7900 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950, 7900
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7892 and 7900, than apply into the LCM equation.
GCF(7892,7900) = 4
LCM(7892,7900) = ( 7892 × 7900) / 4
LCM(7892,7900) = 62346800 / 4
LCM(7892,7900) = 15586700
(i) The LCM of 7900 and 7892 is associative
LCM of 7892 and 7900 = LCM of 7900 and 7892
1. What is the LCM of 7892 and 7900?
Answer: LCM of 7892 and 7900 is 15586700.
2. What are the Factors of 7892?
Answer: Factors of 7892 are 1, 2, 4, 1973, 3946, 7892. There are 6 integers that are factors of 7892. The greatest factor of 7892 is 7892.
3. What are the Factors of 7900?
Answer: Factors of 7900 are 1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950, 7900. There are 18 integers that are factors of 7900. The greatest factor of 7900 is 7900.
4. How to Find the LCM of 7892 and 7900?
Answer:
Least Common Multiple of 7892 and 7900 = 15586700
Step 1: Find the prime factorization of 7892
7892 = 2 x 2 x 1973
Step 2: Find the prime factorization of 7900
7900 = 2 x 2 x 5 x 5 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15586700 = 2 x 2 x 5 x 5 x 79 x 1973
Step 4: Therefore, the least common multiple of 7892 and 7900 is 15586700.