Least Common Multiple of 199 and 207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 199 and 207 the smallest integer that is 41193 that is divisible by both numbers.

Least Common Multiple (LCM) of 199 and 207 is 41193.

LCM(199,207) = 41193

LCM of 199 and 207

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

LCM of:
and

Least Common Multiple of 199 and 207

LCM of 199 and 207 is 41193

Least common multiple can be found by multiplying the highest exponent prime factors of 199 and 207. First we will calculate the prime factors of 199 and 207.

Prime Factorization of 199


199 199
1

Prime factors of 199 are 199. Prime factorization of 199 in exponential form is:

199 = 1991

Prime Factorization of 207


3 207
3 69
23 23
1

Prime factors of 207 are 3,23. Prime factorization of 207 in exponential form is:

207 = 32×231

Now multiplying the highest exponent prime factors to calculate the LCM of 199 and 207.

LCM(199,207) = 32×231×1991
LCM(199,207) = 41193

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1, 199

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Least Common Multiple of 199 and 207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 199 and 207, than apply into the LCM equation.

GCF(199,207) = 1
LCM(199,207) = ( 199 × 207) / 1
LCM(199,207) = 41193 / 1
LCM(199,207) = 41193

Properties of LCM 199 and 207

(i) The LCM of 207 and 199 is associative

LCM of 199 and 207 = LCM of 207 and 199

Related Least Common Multiples of 199

Related Least Common Multiples of 207

Frequently Asked Questions on LCM of 199 and 207

1. What is the LCM of 199 and 207?

Answer: LCM of 199 and 207 is 41193.

2. What are the Factors of 199?

Answer: Factors of 199 are 1, 199. There are 2 integers that are factors of 199. The greatest factor of 199 is 199.

3. What are the Factors of 207?

Answer: Factors of 207 are 1, 3, 9, 23, 69, 207. There are 6 integers that are factors of 207. The greatest factor of 207 is 207.

4. How to Find the LCM of 199 and 207?

Answer:

Least Common Multiple of 199 and 207 = 41193

Step 1: Find the prime factorization of 199

199 = 199

Step 2: Find the prime factorization of 207

207 = 3 x 3 x 23

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

LCM = 41193 = 3 x 3 x 23 x 199

Step 4: Therefore, the least common multiple of 199 and 207 is 41193.