Least Common Multiple of 17214 and 17218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17214 and 17218 the smallest integer that is 148195326 that is divisible by both numbers.

Least Common Multiple (LCM) of 17214 and 17218 is 148195326.

LCM(17214,17218) = 148195326

LCM of 17214 and 17218

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

LCM of:
and

Least Common Multiple of 17214 and 17218

LCM of 17214 and 17218 is 148195326

Least common multiple can be found by multiplying the highest exponent prime factors of 17214 and 17218. First we will calculate the prime factors of 17214 and 17218.

Prime Factorization of 17214


2 17214
3 8607
19 2869
151 151
1

Prime factors of 17214 are 2, 3, 19,151. Prime factorization of 17214 in exponential form is:

17214 = 21×31×191×1511

Prime Factorization of 17218


2 17218
8609 8609
1

Prime factors of 17218 are 2,8609. Prime factorization of 17218 in exponential form is:

17218 = 21×86091

Now multiplying the highest exponent prime factors to calculate the LCM of 17214 and 17218.

LCM(17214,17218) = 21×31×191×1511×86091
LCM(17214,17218) = 148195326

Factors of 17214

List of positive integer factors of 17214 that divides 17214 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 151, 302, 453, 906, 2869, 5738, 8607, 17214

Factors of 17218

List of positive integer factors of 17218 that divides 17218 without a remainder.

1, 2, 8609, 17218

Least Common Multiple of 17214 and 17218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17214 and 17218, than apply into the LCM equation.

GCF(17214,17218) = 2
LCM(17214,17218) = ( 17214 × 17218) / 2
LCM(17214,17218) = 296390652 / 2
LCM(17214,17218) = 148195326

Properties of LCM 17214 and 17218

(i) The LCM of 17218 and 17214 is associative

LCM of 17214 and 17218 = LCM of 17218 and 17214

Related Least Common Multiples of 17214

Related Least Common Multiples of 17218

Frequently Asked Questions on LCM of 17214 and 17218

1. What is the LCM of 17214 and 17218?

Answer: LCM of 17214 and 17218 is 148195326.

2. What are the Factors of 17214?

Answer: Factors of 17214 are 1, 2, 3, 6, 19, 38, 57, 114, 151, 302, 453, 906, 2869, 5738, 8607, 17214. There are 16 integers that are factors of 17214. The greatest factor of 17214 is 17214.

3. What are the Factors of 17218?

Answer: Factors of 17218 are 1, 2, 8609, 17218. There are 4 integers that are factors of 17218. The greatest factor of 17218 is 17218.

4. How to Find the LCM of 17214 and 17218?

Answer:

Least Common Multiple of 17214 and 17218 = 148195326

Step 1: Find the prime factorization of 17214

17214 = 2 x 3 x 19 x 151

Step 2: Find the prime factorization of 17218

17218 = 2 x 8609

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

LCM = 148195326 = 2 x 3 x 19 x 151 x 8609

Step 4: Therefore, the least common multiple of 17214 and 17218 is 148195326.