Least Common Multiple of 1202 and 1210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1202 and 1210 the smallest integer that is 727210 that is divisible by both numbers.

Least Common Multiple (LCM) of 1202 and 1210 is 727210.

LCM(1202,1210) = 727210

LCM of 1202 and 1210

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

LCM of:
and

Least Common Multiple of 1202 and 1210

LCM of 1202 and 1210 is 727210

Least common multiple can be found by multiplying the highest exponent prime factors of 1202 and 1210. First we will calculate the prime factors of 1202 and 1210.

Prime Factorization of 1202


2 1202
601 601
1

Prime factors of 1202 are 2,601. Prime factorization of 1202 in exponential form is:

1202 = 21×6011

Prime Factorization of 1210


2 1210
5 605
11 121
11 11
1

Prime factors of 1210 are 2, 5,11. Prime factorization of 1210 in exponential form is:

1210 = 21×51×112

Now multiplying the highest exponent prime factors to calculate the LCM of 1202 and 1210.

LCM(1202,1210) = 21×51×112×6011
LCM(1202,1210) = 727210

Factors of 1202

List of positive integer factors of 1202 that divides 1202 without a remainder.

1, 2, 601, 1202

Factors of 1210

List of positive integer factors of 1210 that divides 1210 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210

Least Common Multiple of 1202 and 1210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1202 and 1210, than apply into the LCM equation.

GCF(1202,1210) = 2
LCM(1202,1210) = ( 1202 × 1210) / 2
LCM(1202,1210) = 1454420 / 2
LCM(1202,1210) = 727210

Properties of LCM 1202 and 1210

(i) The LCM of 1210 and 1202 is associative

LCM of 1202 and 1210 = LCM of 1210 and 1202

Related Least Common Multiples of 1202

Related Least Common Multiples of 1210

Frequently Asked Questions on LCM of 1202 and 1210

1. What is the LCM of 1202 and 1210?

Answer: LCM of 1202 and 1210 is 727210.

2. What are the Factors of 1202?

Answer: Factors of 1202 are 1, 2, 601, 1202. There are 4 integers that are factors of 1202. The greatest factor of 1202 is 1202.

3. What are the Factors of 1210?

Answer: Factors of 1210 are 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210. There are 12 integers that are factors of 1210. The greatest factor of 1210 is 1210.

4. How to Find the LCM of 1202 and 1210?

Answer:

Least Common Multiple of 1202 and 1210 = 727210

Step 1: Find the prime factorization of 1202

1202 = 2 x 601

Step 2: Find the prime factorization of 1210

1210 = 2 x 5 x 11 x 11

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

LCM = 727210 = 2 x 5 x 11 x 11 x 601

Step 4: Therefore, the least common multiple of 1202 and 1210 is 727210.