Least Common Multiple of 1251 and 1255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1251 and 1255 the smallest integer that is 1570005 that is divisible by both numbers.

Least Common Multiple (LCM) of 1251 and 1255 is 1570005.

LCM(1251,1255) = 1570005

LCM of 1251 and 1255

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

LCM of:
and

Least Common Multiple of 1251 and 1255

LCM of 1251 and 1255 is 1570005

Least common multiple can be found by multiplying the highest exponent prime factors of 1251 and 1255. First we will calculate the prime factors of 1251 and 1255.

Prime Factorization of 1251


3 1251
3 417
139 139
1

Prime factors of 1251 are 3,139. Prime factorization of 1251 in exponential form is:

1251 = 32×1391

Prime Factorization of 1255


5 1255
251 251
1

Prime factors of 1255 are 5,251. Prime factorization of 1255 in exponential form is:

1255 = 51×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 1251 and 1255.

LCM(1251,1255) = 32×51×1391×2511
LCM(1251,1255) = 1570005

Factors of 1251

List of positive integer factors of 1251 that divides 1251 without a remainder.

1, 3, 9, 139, 417, 1251

Factors of 1255

List of positive integer factors of 1255 that divides 1255 without a remainder.

1, 5, 251, 1255

Least Common Multiple of 1251 and 1255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1251 and 1255, than apply into the LCM equation.

GCF(1251,1255) = 1
LCM(1251,1255) = ( 1251 × 1255) / 1
LCM(1251,1255) = 1570005 / 1
LCM(1251,1255) = 1570005

Properties of LCM 1251 and 1255

(i) The LCM of 1255 and 1251 is associative

LCM of 1251 and 1255 = LCM of 1255 and 1251

Related Least Common Multiples of 1251

Related Least Common Multiples of 1255

Frequently Asked Questions on LCM of 1251 and 1255

1. What is the LCM of 1251 and 1255?

Answer: LCM of 1251 and 1255 is 1570005.

2. What are the Factors of 1251?

Answer: Factors of 1251 are 1, 3, 9, 139, 417, 1251. There are 6 integers that are factors of 1251. The greatest factor of 1251 is 1251.

3. What are the Factors of 1255?

Answer: Factors of 1255 are 1, 5, 251, 1255. There are 4 integers that are factors of 1255. The greatest factor of 1255 is 1255.

4. How to Find the LCM of 1251 and 1255?

Answer:

Least Common Multiple of 1251 and 1255 = 1570005

Step 1: Find the prime factorization of 1251

1251 = 3 x 3 x 139

Step 2: Find the prime factorization of 1255

1255 = 5 x 251

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

LCM = 1570005 = 3 x 3 x 5 x 139 x 251

Step 4: Therefore, the least common multiple of 1251 and 1255 is 1570005.