Least Common Multiple of 1200 and 1202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1200 and 1202 the smallest integer that is 721200 that is divisible by both numbers.

Least Common Multiple (LCM) of 1200 and 1202 is 721200.

LCM(1200,1202) = 721200

LCM of 1200 and 1202

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

LCM of:
and

Least Common Multiple of 1200 and 1202

LCM of 1200 and 1202 is 721200

Least common multiple can be found by multiplying the highest exponent prime factors of 1200 and 1202. First we will calculate the prime factors of 1200 and 1202.

Prime Factorization of 1200


2 1200
2 600
2 300
2 150
3 75
5 25
5 5
1

Prime factors of 1200 are 2, 3,5. Prime factorization of 1200 in exponential form is:

1200 = 24×31×52

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1200 and 1202.

LCM(1200,1202) = 24×31×52×6011
LCM(1200,1202) = 721200

Factors of 1200

List of positive integer factors of 1200 that divides 1200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200

Factors of 1202

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

1, 2, 601, 1202

Least Common Multiple of 1200 and 1202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1200 and 1202, than apply into the LCM equation.

GCF(1200,1202) = 2
LCM(1200,1202) = ( 1200 × 1202) / 2
LCM(1200,1202) = 1442400 / 2
LCM(1200,1202) = 721200

Properties of LCM 1200 and 1202

(i) The LCM of 1202 and 1200 is associative

LCM of 1200 and 1202 = LCM of 1202 and 1200

Related Least Common Multiples of 1200

Related Least Common Multiples of 1202

Frequently Asked Questions on LCM of 1200 and 1202

1. What is the LCM of 1200 and 1202?

Answer: LCM of 1200 and 1202 is 721200.

2. What are the Factors of 1200?

Answer: Factors of 1200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200. There are 30 integers that are factors of 1200. The greatest factor of 1200 is 1200.

3. 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.

4. How to Find the LCM of 1200 and 1202?

Answer:

Least Common Multiple of 1200 and 1202 = 721200

Step 1: Find the prime factorization of 1200

1200 = 2 x 2 x 2 x 2 x 3 x 5 x 5

Step 2: Find the prime factorization of 1202

1202 = 2 x 601

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

LCM = 721200 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 601

Step 4: Therefore, the least common multiple of 1200 and 1202 is 721200.