Least Common Multiple of 9420 and 9427
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9420 and 9427 the smallest integer that is 88802340 that is divisible by both numbers.
Least Common Multiple (LCM) of 9420 and 9427 is 88802340.
LCM(9420,9427) = 88802340
LCM of 9420 and 9427
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9420 and 9427 by Prime method
- Least Common Multiple of 9420 and 9427 with GCF Formula
LCM of 9420 and 9427 is 88802340
Least common multiple can be found by multiplying the highest exponent prime factors of 9420 and 9427. First we will calculate the prime factors of 9420 and 9427.
Prime Factorization of 9420
| 2 | 9420 |
| 2 | 4710 |
| 3 | 2355 |
| 5 | 785 |
| 157 | 157 |
| 1 |
Prime factors of 9420 are 2, 3, 5,157. Prime factorization of 9420 in exponential form is:
9420 = 22×31×51×1571
Prime Factorization of 9427
| 11 | 9427 |
| 857 | 857 |
| 1 |
Prime factors of 9427 are 11,857. Prime factorization of 9427 in exponential form is:
9427 = 111×8571
Now multiplying the highest exponent prime factors to calculate the LCM of 9420 and 9427.
LCM(9420,9427) = 22×31×51×111×1571×8571
LCM(9420,9427) = 88802340
Factors of 9420
List of positive integer factors of 9420 that divides 9420 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 4710, 9420
Factors of 9427
List of positive integer factors of 9427 that divides 9427 without a remainder.
1, 11, 857, 9427
Least Common Multiple of 9420 and 9427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9420 and 9427, than apply into the LCM equation.
GCF(9420,9427) = 1
LCM(9420,9427) = ( 9420 × 9427) / 1
LCM(9420,9427) = 88802340 / 1
LCM(9420,9427) = 88802340
Properties of LCM 9420 and 9427
(i) The LCM of 9427 and 9420 is associative
LCM of 9420 and 9427 = LCM of 9427 and 9420
Related Least Common Multiples of 9420
Related Least Common Multiples of 9427
Frequently Asked Questions on LCM of 9420 and 9427
1. What is the LCM of 9420 and 9427?
Answer: LCM of 9420 and 9427 is 88802340.
2. What are the Factors of 9420?
Answer: Factors of 9420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 4710, 9420. There are 24 integers that are factors of 9420. The greatest factor of 9420 is 9420.
3. What are the Factors of 9427?
Answer: Factors of 9427 are 1, 11, 857, 9427. There are 4 integers that are factors of 9427. The greatest factor of 9427 is 9427.
4. How to Find the LCM of 9420 and 9427?
Answer:
Least Common Multiple of 9420 and 9427 = 88802340
Step 1: Find the prime factorization of 9420
9420 = 2 x 2 x 3 x 5 x 157
Step 2: Find the prime factorization of 9427
9427 = 11 x 857
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88802340 = 2 x 2 x 3 x 5 x 11 x 157 x 857
Step 4: Therefore, the least common multiple of 9420 and 9427 is 88802340.