Least Common Multiple of 1069 and 1077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1069 and 1077 the smallest integer that is 1151313 that is divisible by both numbers.

Least Common Multiple (LCM) of 1069 and 1077 is 1151313.

LCM(1069,1077) = 1151313

LCM of 1069 and 1077

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

LCM of:
and

Least Common Multiple of 1069 and 1077

LCM of 1069 and 1077 is 1151313

Least common multiple can be found by multiplying the highest exponent prime factors of 1069 and 1077. First we will calculate the prime factors of 1069 and 1077.

Prime Factorization of 1069


1069 1069
1

Prime factors of 1069 are 1069. Prime factorization of 1069 in exponential form is:

1069 = 10691

Prime Factorization of 1077


3 1077
359 359
1

Prime factors of 1077 are 3,359. Prime factorization of 1077 in exponential form is:

1077 = 31×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 1069 and 1077.

LCM(1069,1077) = 31×3591×10691
LCM(1069,1077) = 1151313

Factors of 1069

List of positive integer factors of 1069 that divides 1069 without a remainder.

1, 1069

Factors of 1077

List of positive integer factors of 1077 that divides 1077 without a remainder.

1, 3, 359, 1077

Least Common Multiple of 1069 and 1077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1069 and 1077, than apply into the LCM equation.

GCF(1069,1077) = 1
LCM(1069,1077) = ( 1069 × 1077) / 1
LCM(1069,1077) = 1151313 / 1
LCM(1069,1077) = 1151313

Properties of LCM 1069 and 1077

(i) The LCM of 1077 and 1069 is associative

LCM of 1069 and 1077 = LCM of 1077 and 1069

Related Least Common Multiples of 1069

Related Least Common Multiples of 1077

Frequently Asked Questions on LCM of 1069 and 1077

1. What is the LCM of 1069 and 1077?

Answer: LCM of 1069 and 1077 is 1151313.

2. What are the Factors of 1069?

Answer: Factors of 1069 are 1, 1069. There are 2 integers that are factors of 1069. The greatest factor of 1069 is 1069.

3. What are the Factors of 1077?

Answer: Factors of 1077 are 1, 3, 359, 1077. There are 4 integers that are factors of 1077. The greatest factor of 1077 is 1077.

4. How to Find the LCM of 1069 and 1077?

Answer:

Least Common Multiple of 1069 and 1077 = 1151313

Step 1: Find the prime factorization of 1069

1069 = 1069

Step 2: Find the prime factorization of 1077

1077 = 3 x 359

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

LCM = 1151313 = 3 x 359 x 1069

Step 4: Therefore, the least common multiple of 1069 and 1077 is 1151313.