Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1917 and 1925 the smallest integer that is 3690225 that is divisible by both numbers.
Least Common Multiple (LCM) of 1917 and 1925 is 3690225.
LCM(1917,1925) = 3690225
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 1917 and 1925. First we will calculate the prime factors of 1917 and 1925.
Prime Factorization of 1917
3 | 1917 |
3 | 639 |
3 | 213 |
71 | 71 |
1 |
Prime factors of 1917 are 3,71. Prime factorization of 1917 in exponential form is:
1917 = 33×711
Prime Factorization of 1925
5 | 1925 |
5 | 385 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 1925 are 5, 7,11. Prime factorization of 1925 in exponential form is:
1925 = 52×71×111
Now multiplying the highest exponent prime factors to calculate the LCM of 1917 and 1925.
LCM(1917,1925) = 33×52×71×111×711
LCM(1917,1925) = 3690225
Factors of 1917
List of positive integer factors of 1917 that divides 1917 without a remainder.
1, 3, 9, 27, 71, 213, 639, 1917
Factors of 1925
List of positive integer factors of 1925 that divides 1925 without a remainder.
1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1917 and 1925, than apply into the LCM equation.
GCF(1917,1925) = 1
LCM(1917,1925) = ( 1917 × 1925) / 1
LCM(1917,1925) = 3690225 / 1
LCM(1917,1925) = 3690225
(i) The LCM of 1925 and 1917 is associative
LCM of 1917 and 1925 = LCM of 1925 and 1917
1. What is the LCM of 1917 and 1925?
Answer: LCM of 1917 and 1925 is 3690225.
2. What are the Factors of 1917?
Answer: Factors of 1917 are 1, 3, 9, 27, 71, 213, 639, 1917. There are 8 integers that are factors of 1917. The greatest factor of 1917 is 1917.
3. What are the Factors of 1925?
Answer: Factors of 1925 are 1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925. There are 12 integers that are factors of 1925. The greatest factor of 1925 is 1925.
4. How to Find the LCM of 1917 and 1925?
Answer:
Least Common Multiple of 1917 and 1925 = 3690225
Step 1: Find the prime factorization of 1917
1917 = 3 x 3 x 3 x 71
Step 2: Find the prime factorization of 1925
1925 = 5 x 5 x 7 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3690225 = 3 x 3 x 3 x 5 x 5 x 7 x 11 x 71
Step 4: Therefore, the least common multiple of 1917 and 1925 is 3690225.