Least Common Multiple of 202 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 202 and 207 the smallest integer that is 41814 that is divisible by both numbers.

Least Common Multiple (LCM) of 202 and 207 is 41814.

LCM(202,207) = 41814

LCM of 202 and 207

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

LCM of:
and

Least Common Multiple of 202 and 207

LCM of 202 and 207 is 41814

Least common multiple can be found by multiplying the highest exponent prime factors of 202 and 207. First we will calculate the prime factors of 202 and 207.

Prime Factorization of 202


2 202
101 101
1

Prime factors of 202 are 2,101. Prime factorization of 202 in exponential form is:

202 = 21×1011

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 202 and 207.

LCM(202,207) = 21×32×231×1011
LCM(202,207) = 41814

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1, 2, 101, 202

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 202 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 202 and 207, than apply into the LCM equation.

GCF(202,207) = 1
LCM(202,207) = ( 202 × 207) / 1
LCM(202,207) = 41814 / 1
LCM(202,207) = 41814

Properties of LCM 202 and 207

(i) The LCM of 207 and 202 is associative

LCM of 202 and 207 = LCM of 207 and 202

Related Least Common Multiples of 202

Related Least Common Multiples of 207

Frequently Asked Questions on LCM of 202 and 207

1. What is the LCM of 202 and 207?

Answer: LCM of 202 and 207 is 41814.

2. What are the Factors of 202?

Answer: Factors of 202 are 1, 2, 101, 202. There are 4 integers that are factors of 202. The greatest factor of 202 is 202.

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 202 and 207?

Answer:

Least Common Multiple of 202 and 207 = 41814

Step 1: Find the prime factorization of 202

202 = 2 x 101

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 = 41814 = 2 x 3 x 3 x 23 x 101

Step 4: Therefore, the least common multiple of 202 and 207 is 41814.