Least Common Multiple of 1253 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 1253 and 1259 the smallest integer that is 1577527 that is divisible by both numbers.

Least Common Multiple (LCM) of 1253 and 1259 is 1577527.

LCM(1253,1259) = 1577527

LCM of 1253 and 1259

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

LCM of:
and

Least Common Multiple of 1253 and 1259

LCM of 1253 and 1259 is 1577527

Least common multiple can be found by multiplying the highest exponent prime factors of 1253 and 1259. First we will calculate the prime factors of 1253 and 1259.

Prime Factorization of 1253


7 1253
179 179
1

Prime factors of 1253 are 7,179. Prime factorization of 1253 in exponential form is:

1253 = 71×1791

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 1253 and 1259.

LCM(1253,1259) = 71×1791×12591
LCM(1253,1259) = 1577527

Factors of 1253

List of positive integer factors of 1253 that divides 1253 without a remainder.

1, 7, 179, 1253

Factors of 1259

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

1, 1259

Least Common Multiple of 1253 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 1253 and 1259, than apply into the LCM equation.

GCF(1253,1259) = 1
LCM(1253,1259) = ( 1253 × 1259) / 1
LCM(1253,1259) = 1577527 / 1
LCM(1253,1259) = 1577527

Properties of LCM 1253 and 1259

(i) The LCM of 1259 and 1253 is associative

LCM of 1253 and 1259 = LCM of 1259 and 1253

Related Least Common Multiples of 1253

Related Least Common Multiples of 1259

Frequently Asked Questions on LCM of 1253 and 1259

1. What is the LCM of 1253 and 1259?

Answer: LCM of 1253 and 1259 is 1577527.

2. What are the Factors of 1253?

Answer: Factors of 1253 are 1, 7, 179, 1253. There are 4 integers that are factors of 1253. The greatest factor of 1253 is 1253.

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 1253 and 1259?

Answer:

Least Common Multiple of 1253 and 1259 = 1577527

Step 1: Find the prime factorization of 1253

1253 = 7 x 179

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 = 1577527 = 7 x 179 x 1259

Step 4: Therefore, the least common multiple of 1253 and 1259 is 1577527.