Least Common Multiple of 1247 and 1251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1247 and 1251 the smallest integer that is 1559997 that is divisible by both numbers.

Least Common Multiple (LCM) of 1247 and 1251 is 1559997.

LCM(1247,1251) = 1559997

LCM of 1247 and 1251

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

LCM of:
and

Least Common Multiple of 1247 and 1251

LCM of 1247 and 1251 is 1559997

Least common multiple can be found by multiplying the highest exponent prime factors of 1247 and 1251. First we will calculate the prime factors of 1247 and 1251.

Prime Factorization of 1247


29 1247
43 43
1

Prime factors of 1247 are 29,43. Prime factorization of 1247 in exponential form is:

1247 = 291×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1247 and 1251.

LCM(1247,1251) = 32×291×431×1391
LCM(1247,1251) = 1559997

Factors of 1247

List of positive integer factors of 1247 that divides 1247 without a remainder.

1, 29, 43, 1247

Factors of 1251

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

1, 3, 9, 139, 417, 1251

Least Common Multiple of 1247 and 1251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1247 and 1251, than apply into the LCM equation.

GCF(1247,1251) = 1
LCM(1247,1251) = ( 1247 × 1251) / 1
LCM(1247,1251) = 1559997 / 1
LCM(1247,1251) = 1559997

Properties of LCM 1247 and 1251

(i) The LCM of 1251 and 1247 is associative

LCM of 1247 and 1251 = LCM of 1251 and 1247

Related Least Common Multiples of 1247

Related Least Common Multiples of 1251

Frequently Asked Questions on LCM of 1247 and 1251

1. What is the LCM of 1247 and 1251?

Answer: LCM of 1247 and 1251 is 1559997.

2. What are the Factors of 1247?

Answer: Factors of 1247 are 1, 29, 43, 1247. There are 4 integers that are factors of 1247. The greatest factor of 1247 is 1247.

3. 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.

4. How to Find the LCM of 1247 and 1251?

Answer:

Least Common Multiple of 1247 and 1251 = 1559997

Step 1: Find the prime factorization of 1247

1247 = 29 x 43

Step 2: Find the prime factorization of 1251

1251 = 3 x 3 x 139

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

LCM = 1559997 = 3 x 3 x 29 x 43 x 139

Step 4: Therefore, the least common multiple of 1247 and 1251 is 1559997.