Least Common Multiple of 39164 and 39169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39164 and 39169 the smallest integer that is 1534014716 that is divisible by both numbers.

Least Common Multiple (LCM) of 39164 and 39169 is 1534014716.

LCM(39164,39169) = 1534014716

LCM of 39164 and 39169

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

LCM of:
and

Least Common Multiple of 39164 and 39169

LCM of 39164 and 39169 is 1534014716

Least common multiple can be found by multiplying the highest exponent prime factors of 39164 and 39169. First we will calculate the prime factors of 39164 and 39169.

Prime Factorization of 39164


2 39164
2 19582
9791 9791
1

Prime factors of 39164 are 2,9791. Prime factorization of 39164 in exponential form is:

39164 = 22×97911

Prime Factorization of 39169


13 39169
23 3013
131 131
1

Prime factors of 39169 are 13, 23,131. Prime factorization of 39169 in exponential form is:

39169 = 131×231×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 39164 and 39169.

LCM(39164,39169) = 22×131×231×1311×97911
LCM(39164,39169) = 1534014716

Factors of 39164

List of positive integer factors of 39164 that divides 39164 without a remainder.

1, 2, 4, 9791, 19582, 39164

Factors of 39169

List of positive integer factors of 39169 that divides 39169 without a remainder.

1, 13, 23, 131, 299, 1703, 3013, 39169

Least Common Multiple of 39164 and 39169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39164 and 39169, than apply into the LCM equation.

GCF(39164,39169) = 1
LCM(39164,39169) = ( 39164 × 39169) / 1
LCM(39164,39169) = 1534014716 / 1
LCM(39164,39169) = 1534014716

Properties of LCM 39164 and 39169

(i) The LCM of 39169 and 39164 is associative

LCM of 39164 and 39169 = LCM of 39169 and 39164

Related Least Common Multiples of 39164

Related Least Common Multiples of 39169

Frequently Asked Questions on LCM of 39164 and 39169

1. What is the LCM of 39164 and 39169?

Answer: LCM of 39164 and 39169 is 1534014716.

2. What are the Factors of 39164?

Answer: Factors of 39164 are 1, 2, 4, 9791, 19582, 39164. There are 6 integers that are factors of 39164. The greatest factor of 39164 is 39164.

3. What are the Factors of 39169?

Answer: Factors of 39169 are 1, 13, 23, 131, 299, 1703, 3013, 39169. There are 8 integers that are factors of 39169. The greatest factor of 39169 is 39169.

4. How to Find the LCM of 39164 and 39169?

Answer:

Least Common Multiple of 39164 and 39169 = 1534014716

Step 1: Find the prime factorization of 39164

39164 = 2 x 2 x 9791

Step 2: Find the prime factorization of 39169

39169 = 13 x 23 x 131

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

LCM = 1534014716 = 2 x 2 x 13 x 23 x 131 x 9791

Step 4: Therefore, the least common multiple of 39164 and 39169 is 1534014716.