Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4210 and 4215 the smallest integer that is 3549030 that is divisible by both numbers.
Least Common Multiple (LCM) of 4210 and 4215 is 3549030.
LCM(4210,4215) = 3549030
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4210 and 4215. First we will calculate the prime factors of 4210 and 4215.
Prime Factorization of 4210
2 | 4210 |
5 | 2105 |
421 | 421 |
1 |
Prime factors of 4210 are 2, 5,421. Prime factorization of 4210 in exponential form is:
4210 = 21×51×4211
Prime Factorization of 4215
3 | 4215 |
5 | 1405 |
281 | 281 |
1 |
Prime factors of 4215 are 3, 5,281. Prime factorization of 4215 in exponential form is:
4215 = 31×51×2811
Now multiplying the highest exponent prime factors to calculate the LCM of 4210 and 4215.
LCM(4210,4215) = 21×31×51×2811×4211
LCM(4210,4215) = 3549030
Factors of 4210
List of positive integer factors of 4210 that divides 4210 without a remainder.
1, 2, 5, 10, 421, 842, 2105, 4210
Factors of 4215
List of positive integer factors of 4215 that divides 4215 without a remainder.
1, 3, 5, 15, 281, 843, 1405, 4215
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4210 and 4215, than apply into the LCM equation.
GCF(4210,4215) = 5
LCM(4210,4215) = ( 4210 × 4215) / 5
LCM(4210,4215) = 17745150 / 5
LCM(4210,4215) = 3549030
(i) The LCM of 4215 and 4210 is associative
LCM of 4210 and 4215 = LCM of 4215 and 4210
1. What is the LCM of 4210 and 4215?
Answer: LCM of 4210 and 4215 is 3549030.
2. What are the Factors of 4210?
Answer: Factors of 4210 are 1, 2, 5, 10, 421, 842, 2105, 4210. There are 8 integers that are factors of 4210. The greatest factor of 4210 is 4210.
3. What are the Factors of 4215?
Answer: Factors of 4215 are 1, 3, 5, 15, 281, 843, 1405, 4215. There are 8 integers that are factors of 4215. The greatest factor of 4215 is 4215.
4. How to Find the LCM of 4210 and 4215?
Answer:
Least Common Multiple of 4210 and 4215 = 3549030
Step 1: Find the prime factorization of 4210
4210 = 2 x 5 x 421
Step 2: Find the prime factorization of 4215
4215 = 3 x 5 x 281
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3549030 = 2 x 3 x 5 x 281 x 421
Step 4: Therefore, the least common multiple of 4210 and 4215 is 3549030.