Least Common Multiple of 4200 and 4206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4200 and 4206 the smallest integer that is 2944200 that is divisible by both numbers.

Least Common Multiple (LCM) of 4200 and 4206 is 2944200.

LCM(4200,4206) = 2944200

LCM of 4200 and 4206

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

LCM of:
and

Least Common Multiple of 4200 and 4206

LCM of 4200 and 4206 is 2944200

Least common multiple can be found by multiplying the highest exponent prime factors of 4200 and 4206. First we will calculate the prime factors of 4200 and 4206.

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

Prime Factorization of 4206


2 4206
3 2103
701 701
1

Prime factors of 4206 are 2, 3,701. Prime factorization of 4206 in exponential form is:

4206 = 21×31×7011

Now multiplying the highest exponent prime factors to calculate the LCM of 4200 and 4206.

LCM(4200,4206) = 23×31×52×71×7011
LCM(4200,4206) = 2944200

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

Factors of 4206

List of positive integer factors of 4206 that divides 4206 without a remainder.

1, 2, 3, 6, 701, 1402, 2103, 4206

Least Common Multiple of 4200 and 4206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4200 and 4206, than apply into the LCM equation.

GCF(4200,4206) = 6
LCM(4200,4206) = ( 4200 × 4206) / 6
LCM(4200,4206) = 17665200 / 6
LCM(4200,4206) = 2944200

Properties of LCM 4200 and 4206

(i) The LCM of 4206 and 4200 is associative

LCM of 4200 and 4206 = LCM of 4206 and 4200

Related Least Common Multiples of 4200

Related Least Common Multiples of 4206

Frequently Asked Questions on LCM of 4200 and 4206

1. What is the LCM of 4200 and 4206?

Answer: LCM of 4200 and 4206 is 2944200.

2. 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.

3. What are the Factors of 4206?

Answer: Factors of 4206 are 1, 2, 3, 6, 701, 1402, 2103, 4206. There are 8 integers that are factors of 4206. The greatest factor of 4206 is 4206.

4. How to Find the LCM of 4200 and 4206?

Answer:

Least Common Multiple of 4200 and 4206 = 2944200

Step 1: Find the prime factorization of 4200

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

Step 2: Find the prime factorization of 4206

4206 = 2 x 3 x 701

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

LCM = 2944200 = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 701

Step 4: Therefore, the least common multiple of 4200 and 4206 is 2944200.