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 4217 the smallest integer that is 17753570 that is divisible by both numbers.
Least Common Multiple (LCM) of 4210 and 4217 is 17753570.
LCM(4210,4217) = 17753570
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 4217. First we will calculate the prime factors of 4210 and 4217.
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 4217
4217 | 4217 |
1 |
Prime factors of 4217 are 4217. Prime factorization of 4217 in exponential form is:
4217 = 42171
Now multiplying the highest exponent prime factors to calculate the LCM of 4210 and 4217.
LCM(4210,4217) = 21×51×4211×42171
LCM(4210,4217) = 17753570
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 4217
List of positive integer factors of 4217 that divides 4217 without a remainder.
1, 4217
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4210 and 4217, than apply into the LCM equation.
GCF(4210,4217) = 1
LCM(4210,4217) = ( 4210 × 4217) / 1
LCM(4210,4217) = 17753570 / 1
LCM(4210,4217) = 17753570
(i) The LCM of 4217 and 4210 is associative
LCM of 4210 and 4217 = LCM of 4217 and 4210
1. What is the LCM of 4210 and 4217?
Answer: LCM of 4210 and 4217 is 17753570.
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 4217?
Answer: Factors of 4217 are 1, 4217. There are 2 integers that are factors of 4217. The greatest factor of 4217 is 4217.
4. How to Find the LCM of 4210 and 4217?
Answer:
Least Common Multiple of 4210 and 4217 = 17753570
Step 1: Find the prime factorization of 4210
4210 = 2 x 5 x 421
Step 2: Find the prime factorization of 4217
4217 = 4217
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17753570 = 2 x 5 x 421 x 4217
Step 4: Therefore, the least common multiple of 4210 and 4217 is 17753570.