Least Common Multiple of 34211 and 34216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34211 and 34216 the smallest integer that is 1170563576 that is divisible by both numbers.

Least Common Multiple (LCM) of 34211 and 34216 is 1170563576.

LCM(34211,34216) = 1170563576

LCM of 34211 and 34216

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 34211 and 34216

LCM of 34211 and 34216 is 1170563576

Least common multiple can be found by multiplying the highest exponent prime factors of 34211 and 34216. First we will calculate the prime factors of 34211 and 34216.

Prime Factorization of 34211


34211 34211
1

Prime factors of 34211 are 34211. Prime factorization of 34211 in exponential form is:

34211 = 342111

Prime Factorization of 34216


2 34216
2 17108
2 8554
7 4277
13 611
47 47
1

Prime factors of 34216 are 2, 7, 13,47. Prime factorization of 34216 in exponential form is:

34216 = 23×71×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 34211 and 34216.

LCM(34211,34216) = 23×71×131×471×342111
LCM(34211,34216) = 1170563576

Factors of 34211

List of positive integer factors of 34211 that divides 34211 without a remainder.

1, 34211

Factors of 34216

List of positive integer factors of 34216 that divides 34216 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 47, 52, 56, 91, 94, 104, 182, 188, 329, 364, 376, 611, 658, 728, 1222, 1316, 2444, 2632, 4277, 4888, 8554, 17108, 34216

Least Common Multiple of 34211 and 34216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34211 and 34216, than apply into the LCM equation.

GCF(34211,34216) = 1
LCM(34211,34216) = ( 34211 × 34216) / 1
LCM(34211,34216) = 1170563576 / 1
LCM(34211,34216) = 1170563576

Properties of LCM 34211 and 34216

(i) The LCM of 34216 and 34211 is associative

LCM of 34211 and 34216 = LCM of 34216 and 34211

Related Least Common Multiples of 34211

Related Least Common Multiples of 34216

Frequently Asked Questions on LCM of 34211 and 34216

1. What is the LCM of 34211 and 34216?

Answer: LCM of 34211 and 34216 is 1170563576.

2. What are the Factors of 34211?

Answer: Factors of 34211 are 1, 34211. There are 2 integers that are factors of 34211. The greatest factor of 34211 is 34211.

3. What are the Factors of 34216?

Answer: Factors of 34216 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 47, 52, 56, 91, 94, 104, 182, 188, 329, 364, 376, 611, 658, 728, 1222, 1316, 2444, 2632, 4277, 4888, 8554, 17108, 34216. There are 32 integers that are factors of 34216. The greatest factor of 34216 is 34216.

4. How to Find the LCM of 34211 and 34216?

Answer:

Least Common Multiple of 34211 and 34216 = 1170563576

Step 1: Find the prime factorization of 34211

34211 = 34211

Step 2: Find the prime factorization of 34216

34216 = 2 x 2 x 2 x 7 x 13 x 47

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1170563576 = 2 x 2 x 2 x 7 x 13 x 47 x 34211

Step 4: Therefore, the least common multiple of 34211 and 34216 is 1170563576.