Least Common Multiple of 1242 and 1250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1242 and 1250 the smallest integer that is 776250 that is divisible by both numbers.

Least Common Multiple (LCM) of 1242 and 1250 is 776250.

LCM(1242,1250) = 776250

LCM of 1242 and 1250

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

LCM of:
and

Least Common Multiple of 1242 and 1250

LCM of 1242 and 1250 is 776250

Least common multiple can be found by multiplying the highest exponent prime factors of 1242 and 1250. First we will calculate the prime factors of 1242 and 1250.

Prime Factorization of 1242


2 1242
3 621
3 207
3 69
23 23
1

Prime factors of 1242 are 2, 3,23. Prime factorization of 1242 in exponential form is:

1242 = 21×33×231

Prime Factorization of 1250


2 1250
5 625
5 125
5 25
5 5
1

Prime factors of 1250 are 2,5. Prime factorization of 1250 in exponential form is:

1250 = 21×54

Now multiplying the highest exponent prime factors to calculate the LCM of 1242 and 1250.

LCM(1242,1250) = 21×33×54×231
LCM(1242,1250) = 776250

Factors of 1242

List of positive integer factors of 1242 that divides 1242 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621, 1242

Factors of 1250

List of positive integer factors of 1250 that divides 1250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 625, 1250

Least Common Multiple of 1242 and 1250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1242 and 1250, than apply into the LCM equation.

GCF(1242,1250) = 2
LCM(1242,1250) = ( 1242 × 1250) / 2
LCM(1242,1250) = 1552500 / 2
LCM(1242,1250) = 776250

Properties of LCM 1242 and 1250

(i) The LCM of 1250 and 1242 is associative

LCM of 1242 and 1250 = LCM of 1250 and 1242

Related Least Common Multiples of 1242

Related Least Common Multiples of 1250

Frequently Asked Questions on LCM of 1242 and 1250

1. What is the LCM of 1242 and 1250?

Answer: LCM of 1242 and 1250 is 776250.

2. What are the Factors of 1242?

Answer: Factors of 1242 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621, 1242. There are 16 integers that are factors of 1242. The greatest factor of 1242 is 1242.

3. What are the Factors of 1250?

Answer: Factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250. There are 10 integers that are factors of 1250. The greatest factor of 1250 is 1250.

4. How to Find the LCM of 1242 and 1250?

Answer:

Least Common Multiple of 1242 and 1250 = 776250

Step 1: Find the prime factorization of 1242

1242 = 2 x 3 x 3 x 3 x 23

Step 2: Find the prime factorization of 1250

1250 = 2 x 5 x 5 x 5 x 5

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

LCM = 776250 = 2 x 3 x 3 x 3 x 5 x 5 x 5 x 5 x 23

Step 4: Therefore, the least common multiple of 1242 and 1250 is 776250.