Least Common Multiple of 4196 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 4196 and 4202 the smallest integer that is 8815796 that is divisible by both numbers.

Least Common Multiple (LCM) of 4196 and 4202 is 8815796.

LCM(4196,4202) = 8815796

LCM of 4196 and 4202

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

LCM of:
and

Least Common Multiple of 4196 and 4202

LCM of 4196 and 4202 is 8815796

Least common multiple can be found by multiplying the highest exponent prime factors of 4196 and 4202. First we will calculate the prime factors of 4196 and 4202.

Prime Factorization of 4196


2 4196
2 2098
1049 1049
1

Prime factors of 4196 are 2,1049. Prime factorization of 4196 in exponential form is:

4196 = 22×10491

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 4196 and 4202.

LCM(4196,4202) = 22×111×1911×10491
LCM(4196,4202) = 8815796

Factors of 4196

List of positive integer factors of 4196 that divides 4196 without a remainder.

1, 2, 4, 1049, 2098, 4196

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 4196 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 4196 and 4202, than apply into the LCM equation.

GCF(4196,4202) = 2
LCM(4196,4202) = ( 4196 × 4202) / 2
LCM(4196,4202) = 17631592 / 2
LCM(4196,4202) = 8815796

Properties of LCM 4196 and 4202

(i) The LCM of 4202 and 4196 is associative

LCM of 4196 and 4202 = LCM of 4202 and 4196

Related Least Common Multiples of 4196

Related Least Common Multiples of 4202

Frequently Asked Questions on LCM of 4196 and 4202

1. What is the LCM of 4196 and 4202?

Answer: LCM of 4196 and 4202 is 8815796.

2. What are the Factors of 4196?

Answer: Factors of 4196 are 1, 2, 4, 1049, 2098, 4196. There are 6 integers that are factors of 4196. The greatest factor of 4196 is 4196.

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 4196 and 4202?

Answer:

Least Common Multiple of 4196 and 4202 = 8815796

Step 1: Find the prime factorization of 4196

4196 = 2 x 2 x 1049

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 = 8815796 = 2 x 2 x 11 x 191 x 1049

Step 4: Therefore, the least common multiple of 4196 and 4202 is 8815796.