Least Common Multiple of 1245 and 1251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1245 and 1251 the smallest integer that is 519165 that is divisible by both numbers.

Least Common Multiple (LCM) of 1245 and 1251 is 519165.

LCM(1245,1251) = 519165

LCM of 1245 and 1251

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

LCM of:
and

Least Common Multiple of 1245 and 1251

LCM of 1245 and 1251 is 519165

Least common multiple can be found by multiplying the highest exponent prime factors of 1245 and 1251. First we will calculate the prime factors of 1245 and 1251.

Prime Factorization of 1245


3 1245
5 415
83 83
1

Prime factors of 1245 are 3, 5,83. Prime factorization of 1245 in exponential form is:

1245 = 31×51×831

Prime Factorization of 1251


3 1251
3 417
139 139
1

Prime factors of 1251 are 3,139. Prime factorization of 1251 in exponential form is:

1251 = 32×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 1245 and 1251.

LCM(1245,1251) = 32×51×831×1391
LCM(1245,1251) = 519165

Factors of 1245

List of positive integer factors of 1245 that divides 1245 without a remainder.

1, 3, 5, 15, 83, 249, 415, 1245

Factors of 1251

List of positive integer factors of 1251 that divides 1251 without a remainder.

1, 3, 9, 139, 417, 1251

Least Common Multiple of 1245 and 1251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1245 and 1251, than apply into the LCM equation.

GCF(1245,1251) = 3
LCM(1245,1251) = ( 1245 × 1251) / 3
LCM(1245,1251) = 1557495 / 3
LCM(1245,1251) = 519165

Properties of LCM 1245 and 1251

(i) The LCM of 1251 and 1245 is associative

LCM of 1245 and 1251 = LCM of 1251 and 1245

Related Least Common Multiples of 1245

Related Least Common Multiples of 1251

Frequently Asked Questions on LCM of 1245 and 1251

1. What is the LCM of 1245 and 1251?

Answer: LCM of 1245 and 1251 is 519165.

2. What are the Factors of 1245?

Answer: Factors of 1245 are 1, 3, 5, 15, 83, 249, 415, 1245. There are 8 integers that are factors of 1245. The greatest factor of 1245 is 1245.

3. What are the Factors of 1251?

Answer: Factors of 1251 are 1, 3, 9, 139, 417, 1251. There are 6 integers that are factors of 1251. The greatest factor of 1251 is 1251.

4. How to Find the LCM of 1245 and 1251?

Answer:

Least Common Multiple of 1245 and 1251 = 519165

Step 1: Find the prime factorization of 1245

1245 = 3 x 5 x 83

Step 2: Find the prime factorization of 1251

1251 = 3 x 3 x 139

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

LCM = 519165 = 3 x 3 x 5 x 83 x 139

Step 4: Therefore, the least common multiple of 1245 and 1251 is 519165.