Least Common Multiple of 1254 and 1259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1254 and 1259 the smallest integer that is 1578786 that is divisible by both numbers.

Least Common Multiple (LCM) of 1254 and 1259 is 1578786.

LCM(1254,1259) = 1578786

LCM of 1254 and 1259

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

LCM of:
and

Least Common Multiple of 1254 and 1259

LCM of 1254 and 1259 is 1578786

Least common multiple can be found by multiplying the highest exponent prime factors of 1254 and 1259. First we will calculate the prime factors of 1254 and 1259.

Prime Factorization of 1254


2 1254
3 627
11 209
19 19
1

Prime factors of 1254 are 2, 3, 11,19. Prime factorization of 1254 in exponential form is:

1254 = 21×31×111×191

Prime Factorization of 1259


1259 1259
1

Prime factors of 1259 are 1259. Prime factorization of 1259 in exponential form is:

1259 = 12591

Now multiplying the highest exponent prime factors to calculate the LCM of 1254 and 1259.

LCM(1254,1259) = 21×31×111×191×12591
LCM(1254,1259) = 1578786

Factors of 1254

List of positive integer factors of 1254 that divides 1254 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254

Factors of 1259

List of positive integer factors of 1259 that divides 1259 without a remainder.

1, 1259

Least Common Multiple of 1254 and 1259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1254 and 1259, than apply into the LCM equation.

GCF(1254,1259) = 1
LCM(1254,1259) = ( 1254 × 1259) / 1
LCM(1254,1259) = 1578786 / 1
LCM(1254,1259) = 1578786

Properties of LCM 1254 and 1259

(i) The LCM of 1259 and 1254 is associative

LCM of 1254 and 1259 = LCM of 1259 and 1254

Related Least Common Multiples of 1254

Related Least Common Multiples of 1259

Frequently Asked Questions on LCM of 1254 and 1259

1. What is the LCM of 1254 and 1259?

Answer: LCM of 1254 and 1259 is 1578786.

2. What are the Factors of 1254?

Answer: Factors of 1254 are 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254. There are 16 integers that are factors of 1254. The greatest factor of 1254 is 1254.

3. What are the Factors of 1259?

Answer: Factors of 1259 are 1, 1259. There are 2 integers that are factors of 1259. The greatest factor of 1259 is 1259.

4. How to Find the LCM of 1254 and 1259?

Answer:

Least Common Multiple of 1254 and 1259 = 1578786

Step 1: Find the prime factorization of 1254

1254 = 2 x 3 x 11 x 19

Step 2: Find the prime factorization of 1259

1259 = 1259

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

LCM = 1578786 = 2 x 3 x 11 x 19 x 1259

Step 4: Therefore, the least common multiple of 1254 and 1259 is 1578786.