Least Common Multiple of 39213 and 39218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39213 and 39218 the smallest integer that is 1537855434 that is divisible by both numbers.

Least Common Multiple (LCM) of 39213 and 39218 is 1537855434.

LCM(39213,39218) = 1537855434

LCM of 39213 and 39218

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

LCM of:
and

Least Common Multiple of 39213 and 39218

LCM of 39213 and 39218 is 1537855434

Least common multiple can be found by multiplying the highest exponent prime factors of 39213 and 39218. First we will calculate the prime factors of 39213 and 39218.

Prime Factorization of 39213


3 39213
3 13071
4357 4357
1

Prime factors of 39213 are 3,4357. Prime factorization of 39213 in exponential form is:

39213 = 32×43571

Prime Factorization of 39218


2 39218
19609 19609
1

Prime factors of 39218 are 2,19609. Prime factorization of 39218 in exponential form is:

39218 = 21×196091

Now multiplying the highest exponent prime factors to calculate the LCM of 39213 and 39218.

LCM(39213,39218) = 21×32×43571×196091
LCM(39213,39218) = 1537855434

Factors of 39213

List of positive integer factors of 39213 that divides 39213 without a remainder.

1, 3, 9, 4357, 13071, 39213

Factors of 39218

List of positive integer factors of 39218 that divides 39218 without a remainder.

1, 2, 19609, 39218

Least Common Multiple of 39213 and 39218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39213 and 39218, than apply into the LCM equation.

GCF(39213,39218) = 1
LCM(39213,39218) = ( 39213 × 39218) / 1
LCM(39213,39218) = 1537855434 / 1
LCM(39213,39218) = 1537855434

Properties of LCM 39213 and 39218

(i) The LCM of 39218 and 39213 is associative

LCM of 39213 and 39218 = LCM of 39218 and 39213

Related Least Common Multiples of 39213

Related Least Common Multiples of 39218

Frequently Asked Questions on LCM of 39213 and 39218

1. What is the LCM of 39213 and 39218?

Answer: LCM of 39213 and 39218 is 1537855434.

2. What are the Factors of 39213?

Answer: Factors of 39213 are 1, 3, 9, 4357, 13071, 39213. There are 6 integers that are factors of 39213. The greatest factor of 39213 is 39213.

3. What are the Factors of 39218?

Answer: Factors of 39218 are 1, 2, 19609, 39218. There are 4 integers that are factors of 39218. The greatest factor of 39218 is 39218.

4. How to Find the LCM of 39213 and 39218?

Answer:

Least Common Multiple of 39213 and 39218 = 1537855434

Step 1: Find the prime factorization of 39213

39213 = 3 x 3 x 4357

Step 2: Find the prime factorization of 39218

39218 = 2 x 19609

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

LCM = 1537855434 = 2 x 3 x 3 x 4357 x 19609

Step 4: Therefore, the least common multiple of 39213 and 39218 is 1537855434.