Least Common Multiple of 21479 and 21485
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 21479 and 21485 the smallest integer that is 461476315 that is divisible by both numbers.
Least Common Multiple (LCM) of 21479 and 21485 is 461476315.
LCM(21479,21485) = 461476315
LCM of 21479 and 21485
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 21479 and 21485 by Prime method
- Least Common Multiple of 21479 and 21485 with GCF Formula
LCM of 21479 and 21485 is 461476315
Least common multiple can be found by multiplying the highest exponent prime factors of 21479 and 21485. First we will calculate the prime factors of 21479 and 21485.
Prime Factorization of 21479
| 47 | 21479 |
| 457 | 457 |
| 1 |
Prime factors of 21479 are 47,457. Prime factorization of 21479 in exponential form is:
21479 = 471×4571
Prime Factorization of 21485
| 5 | 21485 |
| 4297 | 4297 |
| 1 |
Prime factors of 21485 are 5,4297. Prime factorization of 21485 in exponential form is:
21485 = 51×42971
Now multiplying the highest exponent prime factors to calculate the LCM of 21479 and 21485.
LCM(21479,21485) = 51×471×4571×42971
LCM(21479,21485) = 461476315
Factors of 21479
List of positive integer factors of 21479 that divides 21479 without a remainder.
1, 47, 457, 21479
Factors of 21485
List of positive integer factors of 21485 that divides 21485 without a remainder.
1, 5, 4297, 21485
Least Common Multiple of 21479 and 21485 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21479 and 21485, than apply into the LCM equation.
GCF(21479,21485) = 1
LCM(21479,21485) = ( 21479 × 21485) / 1
LCM(21479,21485) = 461476315 / 1
LCM(21479,21485) = 461476315
Properties of LCM 21479 and 21485
(i) The LCM of 21485 and 21479 is associative
LCM of 21479 and 21485 = LCM of 21485 and 21479
Related Least Common Multiples of 21479
Related Least Common Multiples of 21485
Frequently Asked Questions on LCM of 21479 and 21485
1. What is the LCM of 21479 and 21485?
Answer: LCM of 21479 and 21485 is 461476315.
2. What are the Factors of 21479?
Answer: Factors of 21479 are 1, 47, 457, 21479. There are 4 integers that are factors of 21479. The greatest factor of 21479 is 21479.
3. What are the Factors of 21485?
Answer: Factors of 21485 are 1, 5, 4297, 21485. There are 4 integers that are factors of 21485. The greatest factor of 21485 is 21485.
4. How to Find the LCM of 21479 and 21485?
Answer:
Least Common Multiple of 21479 and 21485 = 461476315
Step 1: Find the prime factorization of 21479
21479 = 47 x 457
Step 2: Find the prime factorization of 21485
21485 = 5 x 4297
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 461476315 = 5 x 47 x 457 x 4297
Step 4: Therefore, the least common multiple of 21479 and 21485 is 461476315.