Least Common Multiple of 4194 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 4194 and 4200 the smallest integer that is 2935800 that is divisible by both numbers.

Least Common Multiple (LCM) of 4194 and 4200 is 2935800.

LCM(4194,4200) = 2935800

LCM of 4194 and 4200

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

LCM of:
and

Least Common Multiple of 4194 and 4200

LCM of 4194 and 4200 is 2935800

Least common multiple can be found by multiplying the highest exponent prime factors of 4194 and 4200. First we will calculate the prime factors of 4194 and 4200.

Prime Factorization of 4194


2 4194
3 2097
3 699
233 233
1

Prime factors of 4194 are 2, 3,233. Prime factorization of 4194 in exponential form is:

4194 = 21×32×2331

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 4194 and 4200.

LCM(4194,4200) = 23×32×52×71×2331
LCM(4194,4200) = 2935800

Factors of 4194

List of positive integer factors of 4194 that divides 4194 without a remainder.

1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097, 4194

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 4194 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 4194 and 4200, than apply into the LCM equation.

GCF(4194,4200) = 6
LCM(4194,4200) = ( 4194 × 4200) / 6
LCM(4194,4200) = 17614800 / 6
LCM(4194,4200) = 2935800

Properties of LCM 4194 and 4200

(i) The LCM of 4200 and 4194 is associative

LCM of 4194 and 4200 = LCM of 4200 and 4194

Related Least Common Multiples of 4194

Related Least Common Multiples of 4200

Frequently Asked Questions on LCM of 4194 and 4200

1. What is the LCM of 4194 and 4200?

Answer: LCM of 4194 and 4200 is 2935800.

2. What are the Factors of 4194?

Answer: Factors of 4194 are 1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097, 4194. There are 12 integers that are factors of 4194. The greatest factor of 4194 is 4194.

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 4194 and 4200?

Answer:

Least Common Multiple of 4194 and 4200 = 2935800

Step 1: Find the prime factorization of 4194

4194 = 2 x 3 x 3 x 233

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 = 2935800 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 233

Step 4: Therefore, the least common multiple of 4194 and 4200 is 2935800.