Least Common Multiple of 4196 and 4200

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 4200 the smallest integer that is 4405800 that is divisible by both numbers.

Least Common Multiple (LCM) of 4196 and 4200 is 4405800.

LCM(4196,4200) = 4405800

LCM of 4196 and 4200

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

LCM of:
and

Least Common Multiple of 4196 and 4200

LCM of 4196 and 4200 is 4405800

Least common multiple can be found by multiplying the highest exponent prime factors of 4196 and 4200. First we will calculate the prime factors of 4196 and 4200.

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 4200


2 4200
2 2100
2 1050
3 525
5 175
5 35
7 7
1

Prime factors of 4200 are 2, 3, 5,7. Prime factorization of 4200 in exponential form is:

4200 = 23×31×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 4196 and 4200.

LCM(4196,4200) = 23×31×52×71×10491
LCM(4196,4200) = 4405800

Factors of 4196

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

1, 2, 4, 1049, 2098, 4196

Factors of 4200

List of positive integer factors of 4200 that divides 4200 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 140, 150, 168, 175, 200, 210, 280, 300, 350, 420, 525, 600, 700, 840, 1050, 1400, 2100, 4200

Least Common Multiple of 4196 and 4200 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 4200, than apply into the LCM equation.

GCF(4196,4200) = 4
LCM(4196,4200) = ( 4196 × 4200) / 4
LCM(4196,4200) = 17623200 / 4
LCM(4196,4200) = 4405800

Properties of LCM 4196 and 4200

(i) The LCM of 4200 and 4196 is associative

LCM of 4196 and 4200 = LCM of 4200 and 4196

Related Least Common Multiples of 4196

Related Least Common Multiples of 4200

Frequently Asked Questions on LCM of 4196 and 4200

1. What is the LCM of 4196 and 4200?

Answer: LCM of 4196 and 4200 is 4405800.

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 4200?

Answer: Factors of 4200 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 140, 150, 168, 175, 200, 210, 280, 300, 350, 420, 525, 600, 700, 840, 1050, 1400, 2100, 4200. There are 48 integers that are factors of 4200. The greatest factor of 4200 is 4200.

4. How to Find the LCM of 4196 and 4200?

Answer:

Least Common Multiple of 4196 and 4200 = 4405800

Step 1: Find the prime factorization of 4196

4196 = 2 x 2 x 1049

Step 2: Find the prime factorization of 4200

4200 = 2 x 2 x 2 x 3 x 5 x 5 x 7

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

LCM = 4405800 = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 1049

Step 4: Therefore, the least common multiple of 4196 and 4200 is 4405800.