Least Common Multiple of 4195 and 4202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4195 and 4202 the smallest integer that is 17627390 that is divisible by both numbers.

Least Common Multiple (LCM) of 4195 and 4202 is 17627390.

LCM(4195,4202) = 17627390

LCM of 4195 and 4202

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

LCM of:
and

Least Common Multiple of 4195 and 4202

LCM of 4195 and 4202 is 17627390

Least common multiple can be found by multiplying the highest exponent prime factors of 4195 and 4202. First we will calculate the prime factors of 4195 and 4202.

Prime Factorization of 4195


5 4195
839 839
1

Prime factors of 4195 are 5,839. Prime factorization of 4195 in exponential form is:

4195 = 51×8391

Prime Factorization of 4202


2 4202
11 2101
191 191
1

Prime factors of 4202 are 2, 11,191. Prime factorization of 4202 in exponential form is:

4202 = 21×111×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 4195 and 4202.

LCM(4195,4202) = 21×51×111×1911×8391
LCM(4195,4202) = 17627390

Factors of 4195

List of positive integer factors of 4195 that divides 4195 without a remainder.

1, 5, 839, 4195

Factors of 4202

List of positive integer factors of 4202 that divides 4202 without a remainder.

1, 2, 11, 22, 191, 382, 2101, 4202

Least Common Multiple of 4195 and 4202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4195 and 4202, than apply into the LCM equation.

GCF(4195,4202) = 1
LCM(4195,4202) = ( 4195 × 4202) / 1
LCM(4195,4202) = 17627390 / 1
LCM(4195,4202) = 17627390

Properties of LCM 4195 and 4202

(i) The LCM of 4202 and 4195 is associative

LCM of 4195 and 4202 = LCM of 4202 and 4195

Related Least Common Multiples of 4195

Related Least Common Multiples of 4202

Frequently Asked Questions on LCM of 4195 and 4202

1. What is the LCM of 4195 and 4202?

Answer: LCM of 4195 and 4202 is 17627390.

2. What are the Factors of 4195?

Answer: Factors of 4195 are 1, 5, 839, 4195. There are 4 integers that are factors of 4195. The greatest factor of 4195 is 4195.

3. What are the Factors of 4202?

Answer: Factors of 4202 are 1, 2, 11, 22, 191, 382, 2101, 4202. There are 8 integers that are factors of 4202. The greatest factor of 4202 is 4202.

4. How to Find the LCM of 4195 and 4202?

Answer:

Least Common Multiple of 4195 and 4202 = 17627390

Step 1: Find the prime factorization of 4195

4195 = 5 x 839

Step 2: Find the prime factorization of 4202

4202 = 2 x 11 x 191

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

LCM = 17627390 = 2 x 5 x 11 x 191 x 839

Step 4: Therefore, the least common multiple of 4195 and 4202 is 17627390.