Least Common Multiple of 15422 and 15427
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15422 and 15427 the smallest integer that is 237915194 that is divisible by both numbers.
Least Common Multiple (LCM) of 15422 and 15427 is 237915194.
LCM(15422,15427) = 237915194
LCM of 15422 and 15427
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15422 and 15427 by Prime method
- Least Common Multiple of 15422 and 15427 with GCF Formula
LCM of 15422 and 15427 is 237915194
Least common multiple can be found by multiplying the highest exponent prime factors of 15422 and 15427. First we will calculate the prime factors of 15422 and 15427.
Prime Factorization of 15422
| 2 | 15422 |
| 11 | 7711 |
| 701 | 701 |
| 1 |
Prime factors of 15422 are 2, 11,701. Prime factorization of 15422 in exponential form is:
15422 = 21×111×7011
Prime Factorization of 15427
| 15427 | 15427 |
| 1 |
Prime factors of 15427 are 15427. Prime factorization of 15427 in exponential form is:
15427 = 154271
Now multiplying the highest exponent prime factors to calculate the LCM of 15422 and 15427.
LCM(15422,15427) = 21×111×7011×154271
LCM(15422,15427) = 237915194
Factors of 15422
List of positive integer factors of 15422 that divides 15422 without a remainder.
1, 2, 11, 22, 701, 1402, 7711, 15422
Factors of 15427
List of positive integer factors of 15427 that divides 15427 without a remainder.
1, 15427
Least Common Multiple of 15422 and 15427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15422 and 15427, than apply into the LCM equation.
GCF(15422,15427) = 1
LCM(15422,15427) = ( 15422 × 15427) / 1
LCM(15422,15427) = 237915194 / 1
LCM(15422,15427) = 237915194
Properties of LCM 15422 and 15427
(i) The LCM of 15427 and 15422 is associative
LCM of 15422 and 15427 = LCM of 15427 and 15422
Related Least Common Multiples of 15422
Related Least Common Multiples of 15427
Frequently Asked Questions on LCM of 15422 and 15427
1. What is the LCM of 15422 and 15427?
Answer: LCM of 15422 and 15427 is 237915194.
2. What are the Factors of 15422?
Answer: Factors of 15422 are 1, 2, 11, 22, 701, 1402, 7711, 15422. There are 8 integers that are factors of 15422. The greatest factor of 15422 is 15422.
3. What are the Factors of 15427?
Answer: Factors of 15427 are 1, 15427. There are 2 integers that are factors of 15427. The greatest factor of 15427 is 15427.
4. How to Find the LCM of 15422 and 15427?
Answer:
Least Common Multiple of 15422 and 15427 = 237915194
Step 1: Find the prime factorization of 15422
15422 = 2 x 11 x 701
Step 2: Find the prime factorization of 15427
15427 = 15427
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 237915194 = 2 x 11 x 701 x 15427
Step 4: Therefore, the least common multiple of 15422 and 15427 is 237915194.