Least Common Multiple of 1202 and 1207

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 1207 the smallest integer that is 1450814 that is divisible by both numbers.

Least Common Multiple (LCM) of 1202 and 1207 is 1450814.

LCM(1202,1207) = 1450814

LCM of 1202 and 1207

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

LCM of:
and

Least Common Multiple of 1202 and 1207

LCM of 1202 and 1207 is 1450814

Least common multiple can be found by multiplying the highest exponent prime factors of 1202 and 1207. First we will calculate the prime factors of 1202 and 1207.

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 1207


17 1207
71 71
1

Prime factors of 1207 are 17,71. Prime factorization of 1207 in exponential form is:

1207 = 171×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1202 and 1207.

LCM(1202,1207) = 21×171×711×6011
LCM(1202,1207) = 1450814

Factors of 1202

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

1, 2, 601, 1202

Factors of 1207

List of positive integer factors of 1207 that divides 1207 without a remainder.

1, 17, 71, 1207

Least Common Multiple of 1202 and 1207 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 1207, than apply into the LCM equation.

GCF(1202,1207) = 1
LCM(1202,1207) = ( 1202 × 1207) / 1
LCM(1202,1207) = 1450814 / 1
LCM(1202,1207) = 1450814

Properties of LCM 1202 and 1207

(i) The LCM of 1207 and 1202 is associative

LCM of 1202 and 1207 = LCM of 1207 and 1202

Related Least Common Multiples of 1202

Related Least Common Multiples of 1207

Frequently Asked Questions on LCM of 1202 and 1207

1. What is the LCM of 1202 and 1207?

Answer: LCM of 1202 and 1207 is 1450814.

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 1207?

Answer: Factors of 1207 are 1, 17, 71, 1207. There are 4 integers that are factors of 1207. The greatest factor of 1207 is 1207.

4. How to Find the LCM of 1202 and 1207?

Answer:

Least Common Multiple of 1202 and 1207 = 1450814

Step 1: Find the prime factorization of 1202

1202 = 2 x 601

Step 2: Find the prime factorization of 1207

1207 = 17 x 71

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

LCM = 1450814 = 2 x 17 x 71 x 601

Step 4: Therefore, the least common multiple of 1202 and 1207 is 1450814.