Least Common Multiple of 1539 and 1546
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1539 and 1546 the smallest integer that is 2379294 that is divisible by both numbers.
Least Common Multiple (LCM) of 1539 and 1546 is 2379294.
LCM(1539,1546) = 2379294
LCM of 1539 and 1546
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1539 and 1546 by Prime method
- Least Common Multiple of 1539 and 1546 with GCF Formula
LCM of 1539 and 1546 is 2379294
Least common multiple can be found by multiplying the highest exponent prime factors of 1539 and 1546. First we will calculate the prime factors of 1539 and 1546.
Prime Factorization of 1539
| 3 | 1539 |
| 3 | 513 |
| 3 | 171 |
| 3 | 57 |
| 19 | 19 |
| 1 |
Prime factors of 1539 are 3,19. Prime factorization of 1539 in exponential form is:
1539 = 34×191
Prime Factorization of 1546
| 2 | 1546 |
| 773 | 773 |
| 1 |
Prime factors of 1546 are 2,773. Prime factorization of 1546 in exponential form is:
1546 = 21×7731
Now multiplying the highest exponent prime factors to calculate the LCM of 1539 and 1546.
LCM(1539,1546) = 21×34×191×7731
LCM(1539,1546) = 2379294
Factors of 1539
List of positive integer factors of 1539 that divides 1539 without a remainder.
1, 3, 9, 19, 27, 57, 81, 171, 513, 1539
Factors of 1546
List of positive integer factors of 1546 that divides 1546 without a remainder.
1, 2, 773, 1546
Least Common Multiple of 1539 and 1546 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1539 and 1546, than apply into the LCM equation.
GCF(1539,1546) = 1
LCM(1539,1546) = ( 1539 × 1546) / 1
LCM(1539,1546) = 2379294 / 1
LCM(1539,1546) = 2379294
Properties of LCM 1539 and 1546
(i) The LCM of 1546 and 1539 is associative
LCM of 1539 and 1546 = LCM of 1546 and 1539
Related Least Common Multiples of 1539
Related Least Common Multiples of 1546
Frequently Asked Questions on LCM of 1539 and 1546
1. What is the LCM of 1539 and 1546?
Answer: LCM of 1539 and 1546 is 2379294.
2. What are the Factors of 1539?
Answer: Factors of 1539 are 1, 3, 9, 19, 27, 57, 81, 171, 513, 1539. There are 10 integers that are factors of 1539. The greatest factor of 1539 is 1539.
3. What are the Factors of 1546?
Answer: Factors of 1546 are 1, 2, 773, 1546. There are 4 integers that are factors of 1546. The greatest factor of 1546 is 1546.
4. How to Find the LCM of 1539 and 1546?
Answer:
Least Common Multiple of 1539 and 1546 = 2379294
Step 1: Find the prime factorization of 1539
1539 = 3 x 3 x 3 x 3 x 19
Step 2: Find the prime factorization of 1546
1546 = 2 x 773
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2379294 = 2 x 3 x 3 x 3 x 3 x 19 x 773
Step 4: Therefore, the least common multiple of 1539 and 1546 is 2379294.