Least Common Multiple of 1245 and 1252

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 1252 the smallest integer that is 1558740 that is divisible by both numbers.

Least Common Multiple (LCM) of 1245 and 1252 is 1558740.

LCM(1245,1252) = 1558740

LCM of 1245 and 1252

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

LCM of:
and

Least Common Multiple of 1245 and 1252

LCM of 1245 and 1252 is 1558740

Least common multiple can be found by multiplying the highest exponent prime factors of 1245 and 1252. First we will calculate the prime factors of 1245 and 1252.

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 1252


2 1252
2 626
313 313
1

Prime factors of 1252 are 2,313. Prime factorization of 1252 in exponential form is:

1252 = 22×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 1245 and 1252.

LCM(1245,1252) = 22×31×51×831×3131
LCM(1245,1252) = 1558740

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 1252

List of positive integer factors of 1252 that divides 1252 without a remainder.

1, 2, 4, 313, 626, 1252

Least Common Multiple of 1245 and 1252 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 1252, than apply into the LCM equation.

GCF(1245,1252) = 1
LCM(1245,1252) = ( 1245 × 1252) / 1
LCM(1245,1252) = 1558740 / 1
LCM(1245,1252) = 1558740

Properties of LCM 1245 and 1252

(i) The LCM of 1252 and 1245 is associative

LCM of 1245 and 1252 = LCM of 1252 and 1245

Related Least Common Multiples of 1245

Related Least Common Multiples of 1252

Frequently Asked Questions on LCM of 1245 and 1252

1. What is the LCM of 1245 and 1252?

Answer: LCM of 1245 and 1252 is 1558740.

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 1252?

Answer: Factors of 1252 are 1, 2, 4, 313, 626, 1252. There are 6 integers that are factors of 1252. The greatest factor of 1252 is 1252.

4. How to Find the LCM of 1245 and 1252?

Answer:

Least Common Multiple of 1245 and 1252 = 1558740

Step 1: Find the prime factorization of 1245

1245 = 3 x 5 x 83

Step 2: Find the prime factorization of 1252

1252 = 2 x 2 x 313

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

LCM = 1558740 = 2 x 2 x 3 x 5 x 83 x 313

Step 4: Therefore, the least common multiple of 1245 and 1252 is 1558740.