Least Common Multiple of 1909 and 1915
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1909 and 1915 the smallest integer that is 3655735 that is divisible by both numbers.
Least Common Multiple (LCM) of 1909 and 1915 is 3655735.
LCM(1909,1915) = 3655735
LCM of 1909 and 1915
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1909 and 1915 by Prime method
- Least Common Multiple of 1909 and 1915 with GCF Formula
LCM of 1909 and 1915 is 3655735
Least common multiple can be found by multiplying the highest exponent prime factors of 1909 and 1915. First we will calculate the prime factors of 1909 and 1915.
Prime Factorization of 1909
| 23 | 1909 |
| 83 | 83 |
| 1 |
Prime factors of 1909 are 23,83. Prime factorization of 1909 in exponential form is:
1909 = 231×831
Prime Factorization of 1915
| 5 | 1915 |
| 383 | 383 |
| 1 |
Prime factors of 1915 are 5,383. Prime factorization of 1915 in exponential form is:
1915 = 51×3831
Now multiplying the highest exponent prime factors to calculate the LCM of 1909 and 1915.
LCM(1909,1915) = 51×231×831×3831
LCM(1909,1915) = 3655735
Factors of 1909
List of positive integer factors of 1909 that divides 1909 without a remainder.
1, 23, 83, 1909
Factors of 1915
List of positive integer factors of 1915 that divides 1915 without a remainder.
1, 5, 383, 1915
Least Common Multiple of 1909 and 1915 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1909 and 1915, than apply into the LCM equation.
GCF(1909,1915) = 1
LCM(1909,1915) = ( 1909 × 1915) / 1
LCM(1909,1915) = 3655735 / 1
LCM(1909,1915) = 3655735
Properties of LCM 1909 and 1915
(i) The LCM of 1915 and 1909 is associative
LCM of 1909 and 1915 = LCM of 1915 and 1909
Related Least Common Multiples of 1909
Related Least Common Multiples of 1915
Frequently Asked Questions on LCM of 1909 and 1915
1. What is the LCM of 1909 and 1915?
Answer: LCM of 1909 and 1915 is 3655735.
2. What are the Factors of 1909?
Answer: Factors of 1909 are 1, 23, 83, 1909. There are 4 integers that are factors of 1909. The greatest factor of 1909 is 1909.
3. What are the Factors of 1915?
Answer: Factors of 1915 are 1, 5, 383, 1915. There are 4 integers that are factors of 1915. The greatest factor of 1915 is 1915.
4. How to Find the LCM of 1909 and 1915?
Answer:
Least Common Multiple of 1909 and 1915 = 3655735
Step 1: Find the prime factorization of 1909
1909 = 23 x 83
Step 2: Find the prime factorization of 1915
1915 = 5 x 383
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3655735 = 5 x 23 x 83 x 383
Step 4: Therefore, the least common multiple of 1909 and 1915 is 3655735.