Least Common Multiple of 1072 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 1072 and 1077 the smallest integer that is 1154544 that is divisible by both numbers.

Least Common Multiple (LCM) of 1072 and 1077 is 1154544.

LCM(1072,1077) = 1154544

LCM of 1072 and 1077

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

LCM of:
and

Least Common Multiple of 1072 and 1077

LCM of 1072 and 1077 is 1154544

Least common multiple can be found by multiplying the highest exponent prime factors of 1072 and 1077. First we will calculate the prime factors of 1072 and 1077.

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 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 1072 and 1077.

LCM(1072,1077) = 24×31×671×3591
LCM(1072,1077) = 1154544

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 1077

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

1, 3, 359, 1077

Least Common Multiple of 1072 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 1072 and 1077, than apply into the LCM equation.

GCF(1072,1077) = 1
LCM(1072,1077) = ( 1072 × 1077) / 1
LCM(1072,1077) = 1154544 / 1
LCM(1072,1077) = 1154544

Properties of LCM 1072 and 1077

(i) The LCM of 1077 and 1072 is associative

LCM of 1072 and 1077 = LCM of 1077 and 1072

Related Least Common Multiples of 1072

Related Least Common Multiples of 1077

Frequently Asked Questions on LCM of 1072 and 1077

1. What is the LCM of 1072 and 1077?

Answer: LCM of 1072 and 1077 is 1154544.

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 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 1072 and 1077?

Answer:

Least Common Multiple of 1072 and 1077 = 1154544

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 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 = 1154544 = 2 x 2 x 2 x 2 x 3 x 67 x 359

Step 4: Therefore, the least common multiple of 1072 and 1077 is 1154544.