Least Common Multiple of 1240 and 1245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1240 and 1245 the smallest integer that is 308760 that is divisible by both numbers.

Least Common Multiple (LCM) of 1240 and 1245 is 308760.

LCM(1240,1245) = 308760

LCM of 1240 and 1245

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

LCM of:
and

Least Common Multiple of 1240 and 1245

LCM of 1240 and 1245 is 308760

Least common multiple can be found by multiplying the highest exponent prime factors of 1240 and 1245. First we will calculate the prime factors of 1240 and 1245.

Prime Factorization of 1240


2 1240
2 620
2 310
5 155
31 31
1

Prime factors of 1240 are 2, 5,31. Prime factorization of 1240 in exponential form is:

1240 = 23×51×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1240 and 1245.

LCM(1240,1245) = 23×31×51×311×831
LCM(1240,1245) = 308760

Factors of 1240

List of positive integer factors of 1240 that divides 1240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240

Factors of 1245

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

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

Least Common Multiple of 1240 and 1245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1240 and 1245, than apply into the LCM equation.

GCF(1240,1245) = 5
LCM(1240,1245) = ( 1240 × 1245) / 5
LCM(1240,1245) = 1543800 / 5
LCM(1240,1245) = 308760

Properties of LCM 1240 and 1245

(i) The LCM of 1245 and 1240 is associative

LCM of 1240 and 1245 = LCM of 1245 and 1240

Related Least Common Multiples of 1240

Related Least Common Multiples of 1245

Frequently Asked Questions on LCM of 1240 and 1245

1. What is the LCM of 1240 and 1245?

Answer: LCM of 1240 and 1245 is 308760.

2. What are the Factors of 1240?

Answer: Factors of 1240 are 1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240. There are 16 integers that are factors of 1240. The greatest factor of 1240 is 1240.

3. 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.

4. How to Find the LCM of 1240 and 1245?

Answer:

Least Common Multiple of 1240 and 1245 = 308760

Step 1: Find the prime factorization of 1240

1240 = 2 x 2 x 2 x 5 x 31

Step 2: Find the prime factorization of 1245

1245 = 3 x 5 x 83

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

LCM = 308760 = 2 x 2 x 2 x 3 x 5 x 31 x 83

Step 4: Therefore, the least common multiple of 1240 and 1245 is 308760.