Least Common Multiple of 4200 and 4207

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 4207 the smallest integer that is 2524200 that is divisible by both numbers.

Least Common Multiple (LCM) of 4200 and 4207 is 2524200.

LCM(4200,4207) = 2524200

LCM of 4200 and 4207

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

LCM of:
and

Least Common Multiple of 4200 and 4207

LCM of 4200 and 4207 is 2524200

Least common multiple can be found by multiplying the highest exponent prime factors of 4200 and 4207. First we will calculate the prime factors of 4200 and 4207.

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 4207


7 4207
601 601
1

Prime factors of 4207 are 7,601. Prime factorization of 4207 in exponential form is:

4207 = 71×6011

Now multiplying the highest exponent prime factors to calculate the LCM of 4200 and 4207.

LCM(4200,4207) = 23×31×52×71×6011
LCM(4200,4207) = 2524200

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 4207

List of positive integer factors of 4207 that divides 4207 without a remainder.

1, 7, 601, 4207

Least Common Multiple of 4200 and 4207 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 4207, than apply into the LCM equation.

GCF(4200,4207) = 7
LCM(4200,4207) = ( 4200 × 4207) / 7
LCM(4200,4207) = 17669400 / 7
LCM(4200,4207) = 2524200

Properties of LCM 4200 and 4207

(i) The LCM of 4207 and 4200 is associative

LCM of 4200 and 4207 = LCM of 4207 and 4200

Related Least Common Multiples of 4200

Related Least Common Multiples of 4207

Frequently Asked Questions on LCM of 4200 and 4207

1. What is the LCM of 4200 and 4207?

Answer: LCM of 4200 and 4207 is 2524200.

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 4207?

Answer: Factors of 4207 are 1, 7, 601, 4207. There are 4 integers that are factors of 4207. The greatest factor of 4207 is 4207.

4. How to Find the LCM of 4200 and 4207?

Answer:

Least Common Multiple of 4200 and 4207 = 2524200

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 4207

4207 = 7 x 601

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

LCM = 2524200 = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 601

Step 4: Therefore, the least common multiple of 4200 and 4207 is 2524200.