Least Common Multiple of 1072 and 1075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1072 and 1075 the smallest integer that is 1152400 that is divisible by both numbers.

Least Common Multiple (LCM) of 1072 and 1075 is 1152400.

LCM(1072,1075) = 1152400

LCM of 1072 and 1075

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

LCM of:
and

Least Common Multiple of 1072 and 1075

LCM of 1072 and 1075 is 1152400

Least common multiple can be found by multiplying the highest exponent prime factors of 1072 and 1075. First we will calculate the prime factors of 1072 and 1075.

Prime Factorization of 1072


2 1072
2 536
2 268
2 134
67 67
1

Prime factors of 1072 are 2,67. Prime factorization of 1072 in exponential form is:

1072 = 24×671

Prime Factorization of 1075


5 1075
5 215
43 43
1

Prime factors of 1075 are 5,43. Prime factorization of 1075 in exponential form is:

1075 = 52×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1072 and 1075.

LCM(1072,1075) = 24×52×431×671
LCM(1072,1075) = 1152400

Factors of 1072

List of positive integer factors of 1072 that divides 1072 without a remainder.

1, 2, 4, 8, 16, 67, 134, 268, 536, 1072

Factors of 1075

List of positive integer factors of 1075 that divides 1075 without a remainder.

1, 5, 25, 43, 215, 1075

Least Common Multiple of 1072 and 1075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1072 and 1075, than apply into the LCM equation.

GCF(1072,1075) = 1
LCM(1072,1075) = ( 1072 × 1075) / 1
LCM(1072,1075) = 1152400 / 1
LCM(1072,1075) = 1152400

Properties of LCM 1072 and 1075

(i) The LCM of 1075 and 1072 is associative

LCM of 1072 and 1075 = LCM of 1075 and 1072

Related Least Common Multiples of 1072

Related Least Common Multiples of 1075

Frequently Asked Questions on LCM of 1072 and 1075

1. What is the LCM of 1072 and 1075?

Answer: LCM of 1072 and 1075 is 1152400.

2. What are the Factors of 1072?

Answer: Factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072. There are 10 integers that are factors of 1072. The greatest factor of 1072 is 1072.

3. What are the Factors of 1075?

Answer: Factors of 1075 are 1, 5, 25, 43, 215, 1075. There are 6 integers that are factors of 1075. The greatest factor of 1075 is 1075.

4. How to Find the LCM of 1072 and 1075?

Answer:

Least Common Multiple of 1072 and 1075 = 1152400

Step 1: Find the prime factorization of 1072

1072 = 2 x 2 x 2 x 2 x 67

Step 2: Find the prime factorization of 1075

1075 = 5 x 5 x 43

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

LCM = 1152400 = 2 x 2 x 2 x 2 x 5 x 5 x 43 x 67

Step 4: Therefore, the least common multiple of 1072 and 1075 is 1152400.