Least Common Multiple of 1045 and 1050

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1045 and 1050 the smallest integer that is 219450 that is divisible by both numbers.

Least Common Multiple (LCM) of 1045 and 1050 is 219450.

LCM(1045,1050) = 219450

LCM of 1045 and 1050

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

LCM of:
and

Least Common Multiple of 1045 and 1050

LCM of 1045 and 1050 is 219450

Least common multiple can be found by multiplying the highest exponent prime factors of 1045 and 1050. First we will calculate the prime factors of 1045 and 1050.

Prime Factorization of 1045


5 1045
11 209
19 19
1

Prime factors of 1045 are 5, 11,19. Prime factorization of 1045 in exponential form is:

1045 = 51×111×191

Prime Factorization of 1050


2 1050
3 525
5 175
5 35
7 7
1

Prime factors of 1050 are 2, 3, 5,7. Prime factorization of 1050 in exponential form is:

1050 = 21×31×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 1045 and 1050.

LCM(1045,1050) = 21×31×52×71×111×191
LCM(1045,1050) = 219450

Factors of 1045

List of positive integer factors of 1045 that divides 1045 without a remainder.

1, 5, 11, 19, 55, 95, 209, 1045

Factors of 1050

List of positive integer factors of 1050 that divides 1050 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050

Least Common Multiple of 1045 and 1050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1045 and 1050, than apply into the LCM equation.

GCF(1045,1050) = 5
LCM(1045,1050) = ( 1045 × 1050) / 5
LCM(1045,1050) = 1097250 / 5
LCM(1045,1050) = 219450

Properties of LCM 1045 and 1050

(i) The LCM of 1050 and 1045 is associative

LCM of 1045 and 1050 = LCM of 1050 and 1045

Related Least Common Multiples of 1045

Related Least Common Multiples of 1050

Frequently Asked Questions on LCM of 1045 and 1050

1. What is the LCM of 1045 and 1050?

Answer: LCM of 1045 and 1050 is 219450.

2. What are the Factors of 1045?

Answer: Factors of 1045 are 1, 5, 11, 19, 55, 95, 209, 1045. There are 8 integers that are factors of 1045. The greatest factor of 1045 is 1045.

3. What are the Factors of 1050?

Answer: Factors of 1050 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050. There are 24 integers that are factors of 1050. The greatest factor of 1050 is 1050.

4. How to Find the LCM of 1045 and 1050?

Answer:

Least Common Multiple of 1045 and 1050 = 219450

Step 1: Find the prime factorization of 1045

1045 = 5 x 11 x 19

Step 2: Find the prime factorization of 1050

1050 = 2 x 3 x 5 x 5 x 7

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

LCM = 219450 = 2 x 3 x 5 x 5 x 7 x 11 x 19

Step 4: Therefore, the least common multiple of 1045 and 1050 is 219450.