Least Common Multiple of 1074 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 1074 and 1075 the smallest integer that is 1154550 that is divisible by both numbers.

Least Common Multiple (LCM) of 1074 and 1075 is 1154550.

LCM(1074,1075) = 1154550

LCM of 1074 and 1075

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

LCM of:
and

Least Common Multiple of 1074 and 1075

LCM of 1074 and 1075 is 1154550

Least common multiple can be found by multiplying the highest exponent prime factors of 1074 and 1075. First we will calculate the prime factors of 1074 and 1075.

Prime Factorization of 1074


2 1074
3 537
179 179
1

Prime factors of 1074 are 2, 3,179. Prime factorization of 1074 in exponential form is:

1074 = 21×31×1791

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 1074 and 1075.

LCM(1074,1075) = 21×31×52×431×1791
LCM(1074,1075) = 1154550

Factors of 1074

List of positive integer factors of 1074 that divides 1074 without a remainder.

1, 2, 3, 6, 179, 358, 537, 1074

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 1074 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 1074 and 1075, than apply into the LCM equation.

GCF(1074,1075) = 1
LCM(1074,1075) = ( 1074 × 1075) / 1
LCM(1074,1075) = 1154550 / 1
LCM(1074,1075) = 1154550

Properties of LCM 1074 and 1075

(i) The LCM of 1075 and 1074 is associative

LCM of 1074 and 1075 = LCM of 1075 and 1074

Related Least Common Multiples of 1074

Related Least Common Multiples of 1075

Frequently Asked Questions on LCM of 1074 and 1075

1. What is the LCM of 1074 and 1075?

Answer: LCM of 1074 and 1075 is 1154550.

2. What are the Factors of 1074?

Answer: Factors of 1074 are 1, 2, 3, 6, 179, 358, 537, 1074. There are 8 integers that are factors of 1074. The greatest factor of 1074 is 1074.

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 1074 and 1075?

Answer:

Least Common Multiple of 1074 and 1075 = 1154550

Step 1: Find the prime factorization of 1074

1074 = 2 x 3 x 179

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 = 1154550 = 2 x 3 x 5 x 5 x 43 x 179

Step 4: Therefore, the least common multiple of 1074 and 1075 is 1154550.