Least Common Multiple of 1251 and 1254

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 1254 the smallest integer that is 522918 that is divisible by both numbers.

Least Common Multiple (LCM) of 1251 and 1254 is 522918.

LCM(1251,1254) = 522918

LCM of 1251 and 1254

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

LCM of:
and

Least Common Multiple of 1251 and 1254

LCM of 1251 and 1254 is 522918

Least common multiple can be found by multiplying the highest exponent prime factors of 1251 and 1254. First we will calculate the prime factors of 1251 and 1254.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1251 and 1254.

LCM(1251,1254) = 21×32×111×191×1391
LCM(1251,1254) = 522918

Factors of 1251

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

1, 3, 9, 139, 417, 1251

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

Least Common Multiple of 1251 and 1254 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 1254, than apply into the LCM equation.

GCF(1251,1254) = 3
LCM(1251,1254) = ( 1251 × 1254) / 3
LCM(1251,1254) = 1568754 / 3
LCM(1251,1254) = 522918

Properties of LCM 1251 and 1254

(i) The LCM of 1254 and 1251 is associative

LCM of 1251 and 1254 = LCM of 1254 and 1251

Related Least Common Multiples of 1251

Related Least Common Multiples of 1254

Frequently Asked Questions on LCM of 1251 and 1254

1. What is the LCM of 1251 and 1254?

Answer: LCM of 1251 and 1254 is 522918.

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 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.

4. How to Find the LCM of 1251 and 1254?

Answer:

Least Common Multiple of 1251 and 1254 = 522918

Step 1: Find the prime factorization of 1251

1251 = 3 x 3 x 139

Step 2: Find the prime factorization of 1254

1254 = 2 x 3 x 11 x 19

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

LCM = 522918 = 2 x 3 x 3 x 11 x 19 x 139

Step 4: Therefore, the least common multiple of 1251 and 1254 is 522918.