Least Common Multiple of 39188 and 39195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39188 and 39195 the smallest integer that is 1535973660 that is divisible by both numbers.

Least Common Multiple (LCM) of 39188 and 39195 is 1535973660.

LCM(39188,39195) = 1535973660

LCM of 39188 and 39195

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

LCM of:
and

Least Common Multiple of 39188 and 39195

LCM of 39188 and 39195 is 1535973660

Least common multiple can be found by multiplying the highest exponent prime factors of 39188 and 39195. First we will calculate the prime factors of 39188 and 39195.

Prime Factorization of 39188


2 39188
2 19594
97 9797
101 101
1

Prime factors of 39188 are 2, 97,101. Prime factorization of 39188 in exponential form is:

39188 = 22×971×1011

Prime Factorization of 39195


3 39195
3 13065
5 4355
13 871
67 67
1

Prime factors of 39195 are 3, 5, 13,67. Prime factorization of 39195 in exponential form is:

39195 = 32×51×131×671

Now multiplying the highest exponent prime factors to calculate the LCM of 39188 and 39195.

LCM(39188,39195) = 22×32×51×131×671×971×1011
LCM(39188,39195) = 1535973660

Factors of 39188

List of positive integer factors of 39188 that divides 39188 without a remainder.

1, 2, 4, 97, 101, 194, 202, 388, 404, 9797, 19594, 39188

Factors of 39195

List of positive integer factors of 39195 that divides 39195 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 67, 117, 195, 201, 335, 585, 603, 871, 1005, 2613, 3015, 4355, 7839, 13065, 39195

Least Common Multiple of 39188 and 39195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39188 and 39195, than apply into the LCM equation.

GCF(39188,39195) = 1
LCM(39188,39195) = ( 39188 × 39195) / 1
LCM(39188,39195) = 1535973660 / 1
LCM(39188,39195) = 1535973660

Properties of LCM 39188 and 39195

(i) The LCM of 39195 and 39188 is associative

LCM of 39188 and 39195 = LCM of 39195 and 39188

Related Least Common Multiples of 39188

Related Least Common Multiples of 39195

Frequently Asked Questions on LCM of 39188 and 39195

1. What is the LCM of 39188 and 39195?

Answer: LCM of 39188 and 39195 is 1535973660.

2. What are the Factors of 39188?

Answer: Factors of 39188 are 1, 2, 4, 97, 101, 194, 202, 388, 404, 9797, 19594, 39188. There are 12 integers that are factors of 39188. The greatest factor of 39188 is 39188.

3. What are the Factors of 39195?

Answer: Factors of 39195 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 67, 117, 195, 201, 335, 585, 603, 871, 1005, 2613, 3015, 4355, 7839, 13065, 39195. There are 24 integers that are factors of 39195. The greatest factor of 39195 is 39195.

4. How to Find the LCM of 39188 and 39195?

Answer:

Least Common Multiple of 39188 and 39195 = 1535973660

Step 1: Find the prime factorization of 39188

39188 = 2 x 2 x 97 x 101

Step 2: Find the prime factorization of 39195

39195 = 3 x 3 x 5 x 13 x 67

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

LCM = 1535973660 = 2 x 2 x 3 x 3 x 5 x 13 x 67 x 97 x 101

Step 4: Therefore, the least common multiple of 39188 and 39195 is 1535973660.