Least Common Multiple of 1202 and 1208

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 1208 the smallest integer that is 726008 that is divisible by both numbers.

Least Common Multiple (LCM) of 1202 and 1208 is 726008.

LCM(1202,1208) = 726008

LCM of 1202 and 1208

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

LCM of:
and

Least Common Multiple of 1202 and 1208

LCM of 1202 and 1208 is 726008

Least common multiple can be found by multiplying the highest exponent prime factors of 1202 and 1208. First we will calculate the prime factors of 1202 and 1208.

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 1208


2 1208
2 604
2 302
151 151
1

Prime factors of 1208 are 2,151. Prime factorization of 1208 in exponential form is:

1208 = 23×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1202 and 1208.

LCM(1202,1208) = 23×1511×6011
LCM(1202,1208) = 726008

Factors of 1202

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

1, 2, 601, 1202

Factors of 1208

List of positive integer factors of 1208 that divides 1208 without a remainder.

1, 2, 4, 8, 151, 302, 604, 1208

Least Common Multiple of 1202 and 1208 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 1208, than apply into the LCM equation.

GCF(1202,1208) = 2
LCM(1202,1208) = ( 1202 × 1208) / 2
LCM(1202,1208) = 1452016 / 2
LCM(1202,1208) = 726008

Properties of LCM 1202 and 1208

(i) The LCM of 1208 and 1202 is associative

LCM of 1202 and 1208 = LCM of 1208 and 1202

Related Least Common Multiples of 1202

Related Least Common Multiples of 1208

Frequently Asked Questions on LCM of 1202 and 1208

1. What is the LCM of 1202 and 1208?

Answer: LCM of 1202 and 1208 is 726008.

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 1208?

Answer: Factors of 1208 are 1, 2, 4, 8, 151, 302, 604, 1208. There are 8 integers that are factors of 1208. The greatest factor of 1208 is 1208.

4. How to Find the LCM of 1202 and 1208?

Answer:

Least Common Multiple of 1202 and 1208 = 726008

Step 1: Find the prime factorization of 1202

1202 = 2 x 601

Step 2: Find the prime factorization of 1208

1208 = 2 x 2 x 2 x 151

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

LCM = 726008 = 2 x 2 x 2 x 151 x 601

Step 4: Therefore, the least common multiple of 1202 and 1208 is 726008.