Least Common Multiple of 202 and 209

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 209 the smallest integer that is 42218 that is divisible by both numbers.

Least Common Multiple (LCM) of 202 and 209 is 42218.

LCM(202,209) = 42218

LCM of 202 and 209

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

LCM of:
and

Least Common Multiple of 202 and 209

LCM of 202 and 209 is 42218

Least common multiple can be found by multiplying the highest exponent prime factors of 202 and 209. First we will calculate the prime factors of 202 and 209.

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 209


11 209
19 19
1

Prime factors of 209 are 11,19. Prime factorization of 209 in exponential form is:

209 = 111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 202 and 209.

LCM(202,209) = 21×111×191×1011
LCM(202,209) = 42218

Factors of 202

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

1, 2, 101, 202

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Least Common Multiple of 202 and 209 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 209, than apply into the LCM equation.

GCF(202,209) = 1
LCM(202,209) = ( 202 × 209) / 1
LCM(202,209) = 42218 / 1
LCM(202,209) = 42218

Properties of LCM 202 and 209

(i) The LCM of 209 and 202 is associative

LCM of 202 and 209 = LCM of 209 and 202

Related Least Common Multiples of 202

Related Least Common Multiples of 209

Frequently Asked Questions on LCM of 202 and 209

1. What is the LCM of 202 and 209?

Answer: LCM of 202 and 209 is 42218.

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 209?

Answer: Factors of 209 are 1, 11, 19, 209. There are 4 integers that are factors of 209. The greatest factor of 209 is 209.

4. How to Find the LCM of 202 and 209?

Answer:

Least Common Multiple of 202 and 209 = 42218

Step 1: Find the prime factorization of 202

202 = 2 x 101

Step 2: Find the prime factorization of 209

209 = 11 x 19

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

LCM = 42218 = 2 x 11 x 19 x 101

Step 4: Therefore, the least common multiple of 202 and 209 is 42218.