Least Common Multiple of 202 and 210

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 210 the smallest integer that is 21210 that is divisible by both numbers.

Least Common Multiple (LCM) of 202 and 210 is 21210.

LCM(202,210) = 21210

LCM of 202 and 210

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

LCM of:
and

Least Common Multiple of 202 and 210

LCM of 202 and 210 is 21210

Least common multiple can be found by multiplying the highest exponent prime factors of 202 and 210. First we will calculate the prime factors of 202 and 210.

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 210


2 210
3 105
5 35
7 7
1

Prime factors of 210 are 2, 3, 5,7. Prime factorization of 210 in exponential form is:

210 = 21×31×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 202 and 210.

LCM(202,210) = 21×31×51×71×1011
LCM(202,210) = 21210

Factors of 202

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

1, 2, 101, 202

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Least Common Multiple of 202 and 210 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 210, than apply into the LCM equation.

GCF(202,210) = 2
LCM(202,210) = ( 202 × 210) / 2
LCM(202,210) = 42420 / 2
LCM(202,210) = 21210

Properties of LCM 202 and 210

(i) The LCM of 210 and 202 is associative

LCM of 202 and 210 = LCM of 210 and 202

Related Least Common Multiples of 202

Related Least Common Multiples of 210

Frequently Asked Questions on LCM of 202 and 210

1. What is the LCM of 202 and 210?

Answer: LCM of 202 and 210 is 21210.

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 210?

Answer: Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210. There are 16 integers that are factors of 210. The greatest factor of 210 is 210.

4. How to Find the LCM of 202 and 210?

Answer:

Least Common Multiple of 202 and 210 = 21210

Step 1: Find the prime factorization of 202

202 = 2 x 101

Step 2: Find the prime factorization of 210

210 = 2 x 3 x 5 x 7

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

LCM = 21210 = 2 x 3 x 5 x 7 x 101

Step 4: Therefore, the least common multiple of 202 and 210 is 21210.