Least Common Multiple of 1043 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 1043 and 1050 the smallest integer that is 156450 that is divisible by both numbers.

Least Common Multiple (LCM) of 1043 and 1050 is 156450.

LCM(1043,1050) = 156450

LCM of 1043 and 1050

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

LCM of:
and

Least Common Multiple of 1043 and 1050

LCM of 1043 and 1050 is 156450

Least common multiple can be found by multiplying the highest exponent prime factors of 1043 and 1050. First we will calculate the prime factors of 1043 and 1050.

Prime Factorization of 1043


7 1043
149 149
1

Prime factors of 1043 are 7,149. Prime factorization of 1043 in exponential form is:

1043 = 71×1491

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 1043 and 1050.

LCM(1043,1050) = 21×31×52×71×1491
LCM(1043,1050) = 156450

Factors of 1043

List of positive integer factors of 1043 that divides 1043 without a remainder.

1, 7, 149, 1043

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 1043 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 1043 and 1050, than apply into the LCM equation.

GCF(1043,1050) = 7
LCM(1043,1050) = ( 1043 × 1050) / 7
LCM(1043,1050) = 1095150 / 7
LCM(1043,1050) = 156450

Properties of LCM 1043 and 1050

(i) The LCM of 1050 and 1043 is associative

LCM of 1043 and 1050 = LCM of 1050 and 1043

Related Least Common Multiples of 1043

Related Least Common Multiples of 1050

Frequently Asked Questions on LCM of 1043 and 1050

1. What is the LCM of 1043 and 1050?

Answer: LCM of 1043 and 1050 is 156450.

2. What are the Factors of 1043?

Answer: Factors of 1043 are 1, 7, 149, 1043. There are 4 integers that are factors of 1043. The greatest factor of 1043 is 1043.

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 1043 and 1050?

Answer:

Least Common Multiple of 1043 and 1050 = 156450

Step 1: Find the prime factorization of 1043

1043 = 7 x 149

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 = 156450 = 2 x 3 x 5 x 5 x 7 x 149

Step 4: Therefore, the least common multiple of 1043 and 1050 is 156450.