Least Common Multiple of 4193 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 4193 and 4200 the smallest integer that is 2515800 that is divisible by both numbers.

Least Common Multiple (LCM) of 4193 and 4200 is 2515800.

LCM(4193,4200) = 2515800

LCM of 4193 and 4200

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

LCM of:
and

Least Common Multiple of 4193 and 4200

LCM of 4193 and 4200 is 2515800

Least common multiple can be found by multiplying the highest exponent prime factors of 4193 and 4200. First we will calculate the prime factors of 4193 and 4200.

Prime Factorization of 4193


7 4193
599 599
1

Prime factors of 4193 are 7,599. Prime factorization of 4193 in exponential form is:

4193 = 71×5991

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 4193 and 4200.

LCM(4193,4200) = 23×31×52×71×5991
LCM(4193,4200) = 2515800

Factors of 4193

List of positive integer factors of 4193 that divides 4193 without a remainder.

1, 7, 599, 4193

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 4193 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 4193 and 4200, than apply into the LCM equation.

GCF(4193,4200) = 7
LCM(4193,4200) = ( 4193 × 4200) / 7
LCM(4193,4200) = 17610600 / 7
LCM(4193,4200) = 2515800

Properties of LCM 4193 and 4200

(i) The LCM of 4200 and 4193 is associative

LCM of 4193 and 4200 = LCM of 4200 and 4193

Related Least Common Multiples of 4193

Related Least Common Multiples of 4200

Frequently Asked Questions on LCM of 4193 and 4200

1. What is the LCM of 4193 and 4200?

Answer: LCM of 4193 and 4200 is 2515800.

2. What are the Factors of 4193?

Answer: Factors of 4193 are 1, 7, 599, 4193. There are 4 integers that are factors of 4193. The greatest factor of 4193 is 4193.

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 4193 and 4200?

Answer:

Least Common Multiple of 4193 and 4200 = 2515800

Step 1: Find the prime factorization of 4193

4193 = 7 x 599

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 = 2515800 = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 599

Step 4: Therefore, the least common multiple of 4193 and 4200 is 2515800.