Least Common Multiple of 1235 and 1240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1235 and 1240 the smallest integer that is 306280 that is divisible by both numbers.

Least Common Multiple (LCM) of 1235 and 1240 is 306280.

LCM(1235,1240) = 306280

LCM of 1235 and 1240

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

LCM of:
and

Least Common Multiple of 1235 and 1240

LCM of 1235 and 1240 is 306280

Least common multiple can be found by multiplying the highest exponent prime factors of 1235 and 1240. First we will calculate the prime factors of 1235 and 1240.

Prime Factorization of 1235


5 1235
13 247
19 19
1

Prime factors of 1235 are 5, 13,19. Prime factorization of 1235 in exponential form is:

1235 = 51×131×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1235 and 1240.

LCM(1235,1240) = 23×51×131×191×311
LCM(1235,1240) = 306280

Factors of 1235

List of positive integer factors of 1235 that divides 1235 without a remainder.

1, 5, 13, 19, 65, 95, 247, 1235

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

Least Common Multiple of 1235 and 1240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1235 and 1240, than apply into the LCM equation.

GCF(1235,1240) = 5
LCM(1235,1240) = ( 1235 × 1240) / 5
LCM(1235,1240) = 1531400 / 5
LCM(1235,1240) = 306280

Properties of LCM 1235 and 1240

(i) The LCM of 1240 and 1235 is associative

LCM of 1235 and 1240 = LCM of 1240 and 1235

Related Least Common Multiples of 1235

Related Least Common Multiples of 1240

Frequently Asked Questions on LCM of 1235 and 1240

1. What is the LCM of 1235 and 1240?

Answer: LCM of 1235 and 1240 is 306280.

2. What are the Factors of 1235?

Answer: Factors of 1235 are 1, 5, 13, 19, 65, 95, 247, 1235. There are 8 integers that are factors of 1235. The greatest factor of 1235 is 1235.

3. 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.

4. How to Find the LCM of 1235 and 1240?

Answer:

Least Common Multiple of 1235 and 1240 = 306280

Step 1: Find the prime factorization of 1235

1235 = 5 x 13 x 19

Step 2: Find the prime factorization of 1240

1240 = 2 x 2 x 2 x 5 x 31

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

LCM = 306280 = 2 x 2 x 2 x 5 x 13 x 19 x 31

Step 4: Therefore, the least common multiple of 1235 and 1240 is 306280.