Least Common Multiple of 2246 and 2250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2246 and 2250 the smallest integer that is 2526750 that is divisible by both numbers.

Least Common Multiple (LCM) of 2246 and 2250 is 2526750.

LCM(2246,2250) = 2526750

LCM of 2246 and 2250

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

LCM of:
and

Least Common Multiple of 2246 and 2250

LCM of 2246 and 2250 is 2526750

Least common multiple can be found by multiplying the highest exponent prime factors of 2246 and 2250. First we will calculate the prime factors of 2246 and 2250.

Prime Factorization of 2246


2 2246
1123 1123
1

Prime factors of 2246 are 2,1123. Prime factorization of 2246 in exponential form is:

2246 = 21×11231

Prime Factorization of 2250


2 2250
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 2250 are 2, 3,5. Prime factorization of 2250 in exponential form is:

2250 = 21×32×53

Now multiplying the highest exponent prime factors to calculate the LCM of 2246 and 2250.

LCM(2246,2250) = 21×32×53×11231
LCM(2246,2250) = 2526750

Factors of 2246

List of positive integer factors of 2246 that divides 2246 without a remainder.

1, 2, 1123, 2246

Factors of 2250

List of positive integer factors of 2250 that divides 2250 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250

Least Common Multiple of 2246 and 2250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2246 and 2250, than apply into the LCM equation.

GCF(2246,2250) = 2
LCM(2246,2250) = ( 2246 × 2250) / 2
LCM(2246,2250) = 5053500 / 2
LCM(2246,2250) = 2526750

Properties of LCM 2246 and 2250

(i) The LCM of 2250 and 2246 is associative

LCM of 2246 and 2250 = LCM of 2250 and 2246

Related Least Common Multiples of 2246

Related Least Common Multiples of 2250

Frequently Asked Questions on LCM of 2246 and 2250

1. What is the LCM of 2246 and 2250?

Answer: LCM of 2246 and 2250 is 2526750.

2. What are the Factors of 2246?

Answer: Factors of 2246 are 1, 2, 1123, 2246. There are 4 integers that are factors of 2246. The greatest factor of 2246 is 2246.

3. What are the Factors of 2250?

Answer: Factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250. There are 24 integers that are factors of 2250. The greatest factor of 2250 is 2250.

4. How to Find the LCM of 2246 and 2250?

Answer:

Least Common Multiple of 2246 and 2250 = 2526750

Step 1: Find the prime factorization of 2246

2246 = 2 x 1123

Step 2: Find the prime factorization of 2250

2250 = 2 x 3 x 3 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 = 2526750 = 2 x 3 x 3 x 5 x 5 x 5 x 1123

Step 4: Therefore, the least common multiple of 2246 and 2250 is 2526750.