Least Common Multiple of 1290 and 1295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1290 and 1295 the smallest integer that is 334110 that is divisible by both numbers.

Least Common Multiple (LCM) of 1290 and 1295 is 334110.

LCM(1290,1295) = 334110

LCM of 1290 and 1295

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

LCM of:
and

Least Common Multiple of 1290 and 1295

LCM of 1290 and 1295 is 334110

Least common multiple can be found by multiplying the highest exponent prime factors of 1290 and 1295. First we will calculate the prime factors of 1290 and 1295.

Prime Factorization of 1290


2 1290
3 645
5 215
43 43
1

Prime factors of 1290 are 2, 3, 5,43. Prime factorization of 1290 in exponential form is:

1290 = 21×31×51×431

Prime Factorization of 1295


5 1295
7 259
37 37
1

Prime factors of 1295 are 5, 7,37. Prime factorization of 1295 in exponential form is:

1295 = 51×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1290 and 1295.

LCM(1290,1295) = 21×31×51×71×371×431
LCM(1290,1295) = 334110

Factors of 1290

List of positive integer factors of 1290 that divides 1290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290

Factors of 1295

List of positive integer factors of 1295 that divides 1295 without a remainder.

1, 5, 7, 35, 37, 185, 259, 1295

Least Common Multiple of 1290 and 1295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1290 and 1295, than apply into the LCM equation.

GCF(1290,1295) = 5
LCM(1290,1295) = ( 1290 × 1295) / 5
LCM(1290,1295) = 1670550 / 5
LCM(1290,1295) = 334110

Properties of LCM 1290 and 1295

(i) The LCM of 1295 and 1290 is associative

LCM of 1290 and 1295 = LCM of 1295 and 1290

Related Least Common Multiples of 1290

Related Least Common Multiples of 1295

Frequently Asked Questions on LCM of 1290 and 1295

1. What is the LCM of 1290 and 1295?

Answer: LCM of 1290 and 1295 is 334110.

2. What are the Factors of 1290?

Answer: Factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290. There are 16 integers that are factors of 1290. The greatest factor of 1290 is 1290.

3. What are the Factors of 1295?

Answer: Factors of 1295 are 1, 5, 7, 35, 37, 185, 259, 1295. There are 8 integers that are factors of 1295. The greatest factor of 1295 is 1295.

4. How to Find the LCM of 1290 and 1295?

Answer:

Least Common Multiple of 1290 and 1295 = 334110

Step 1: Find the prime factorization of 1290

1290 = 2 x 3 x 5 x 43

Step 2: Find the prime factorization of 1295

1295 = 5 x 7 x 37

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

LCM = 334110 = 2 x 3 x 5 x 7 x 37 x 43

Step 4: Therefore, the least common multiple of 1290 and 1295 is 334110.