Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4211 and 4216 the smallest integer that is 17753576 that is divisible by both numbers.
Least Common Multiple (LCM) of 4211 and 4216 is 17753576.
LCM(4211,4216) = 17753576
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 4211 and 4216. First we will calculate the prime factors of 4211 and 4216.
Prime Factorization of 4211
4211 | 4211 |
1 |
Prime factors of 4211 are 4211. Prime factorization of 4211 in exponential form is:
4211 = 42111
Prime Factorization of 4216
2 | 4216 |
2 | 2108 |
2 | 1054 |
17 | 527 |
31 | 31 |
1 |
Prime factors of 4216 are 2, 17,31. Prime factorization of 4216 in exponential form is:
4216 = 23×171×311
Now multiplying the highest exponent prime factors to calculate the LCM of 4211 and 4216.
LCM(4211,4216) = 23×171×311×42111
LCM(4211,4216) = 17753576
Factors of 4211
List of positive integer factors of 4211 that divides 4211 without a remainder.
1, 4211
Factors of 4216
List of positive integer factors of 4216 that divides 4216 without a remainder.
1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4211 and 4216, than apply into the LCM equation.
GCF(4211,4216) = 1
LCM(4211,4216) = ( 4211 × 4216) / 1
LCM(4211,4216) = 17753576 / 1
LCM(4211,4216) = 17753576
(i) The LCM of 4216 and 4211 is associative
LCM of 4211 and 4216 = LCM of 4216 and 4211
1. What is the LCM of 4211 and 4216?
Answer: LCM of 4211 and 4216 is 17753576.
2. What are the Factors of 4211?
Answer: Factors of 4211 are 1, 4211. There are 2 integers that are factors of 4211. The greatest factor of 4211 is 4211.
3. What are the Factors of 4216?
Answer: Factors of 4216 are 1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216. There are 16 integers that are factors of 4216. The greatest factor of 4216 is 4216.
4. How to Find the LCM of 4211 and 4216?
Answer:
Least Common Multiple of 4211 and 4216 = 17753576
Step 1: Find the prime factorization of 4211
4211 = 4211
Step 2: Find the prime factorization of 4216
4216 = 2 x 2 x 2 x 17 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17753576 = 2 x 2 x 2 x 17 x 31 x 4211
Step 4: Therefore, the least common multiple of 4211 and 4216 is 17753576.