Least Common Multiple of 39169 and 39176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39169 and 39176 the smallest integer that is 1534484744 that is divisible by both numbers.

Least Common Multiple (LCM) of 39169 and 39176 is 1534484744.

LCM(39169,39176) = 1534484744

LCM of 39169 and 39176

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

LCM of:
and

Least Common Multiple of 39169 and 39176

LCM of 39169 and 39176 is 1534484744

Least common multiple can be found by multiplying the highest exponent prime factors of 39169 and 39176. First we will calculate the prime factors of 39169 and 39176.

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

Prime Factorization of 39176


2 39176
2 19588
2 9794
59 4897
83 83
1

Prime factors of 39176 are 2, 59,83. Prime factorization of 39176 in exponential form is:

39176 = 23×591×831

Now multiplying the highest exponent prime factors to calculate the LCM of 39169 and 39176.

LCM(39169,39176) = 23×131×231×591×831×1311
LCM(39169,39176) = 1534484744

Factors of 39169

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

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

Factors of 39176

List of positive integer factors of 39176 that divides 39176 without a remainder.

1, 2, 4, 8, 59, 83, 118, 166, 236, 332, 472, 664, 4897, 9794, 19588, 39176

Least Common Multiple of 39169 and 39176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39169 and 39176, than apply into the LCM equation.

GCF(39169,39176) = 1
LCM(39169,39176) = ( 39169 × 39176) / 1
LCM(39169,39176) = 1534484744 / 1
LCM(39169,39176) = 1534484744

Properties of LCM 39169 and 39176

(i) The LCM of 39176 and 39169 is associative

LCM of 39169 and 39176 = LCM of 39176 and 39169

Related Least Common Multiples of 39169

Related Least Common Multiples of 39176

Frequently Asked Questions on LCM of 39169 and 39176

1. What is the LCM of 39169 and 39176?

Answer: LCM of 39169 and 39176 is 1534484744.

2. 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.

3. What are the Factors of 39176?

Answer: Factors of 39176 are 1, 2, 4, 8, 59, 83, 118, 166, 236, 332, 472, 664, 4897, 9794, 19588, 39176. There are 16 integers that are factors of 39176. The greatest factor of 39176 is 39176.

4. How to Find the LCM of 39169 and 39176?

Answer:

Least Common Multiple of 39169 and 39176 = 1534484744

Step 1: Find the prime factorization of 39169

39169 = 13 x 23 x 131

Step 2: Find the prime factorization of 39176

39176 = 2 x 2 x 2 x 59 x 83

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

LCM = 1534484744 = 2 x 2 x 2 x 13 x 23 x 59 x 83 x 131

Step 4: Therefore, the least common multiple of 39169 and 39176 is 1534484744.