Least Common Multiple of 1077 and 1085

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1077 and 1085 the smallest integer that is 1168545 that is divisible by both numbers.

Least Common Multiple (LCM) of 1077 and 1085 is 1168545.

LCM(1077,1085) = 1168545

LCM of 1077 and 1085

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

LCM of:
and

Least Common Multiple of 1077 and 1085

LCM of 1077 and 1085 is 1168545

Least common multiple can be found by multiplying the highest exponent prime factors of 1077 and 1085. First we will calculate the prime factors of 1077 and 1085.

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

Prime Factorization of 1085


5 1085
7 217
31 31
1

Prime factors of 1085 are 5, 7,31. Prime factorization of 1085 in exponential form is:

1085 = 51×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1077 and 1085.

LCM(1077,1085) = 31×51×71×311×3591
LCM(1077,1085) = 1168545

Factors of 1077

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

1, 3, 359, 1077

Factors of 1085

List of positive integer factors of 1085 that divides 1085 without a remainder.

1, 5, 7, 31, 35, 155, 217, 1085

Least Common Multiple of 1077 and 1085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1077 and 1085, than apply into the LCM equation.

GCF(1077,1085) = 1
LCM(1077,1085) = ( 1077 × 1085) / 1
LCM(1077,1085) = 1168545 / 1
LCM(1077,1085) = 1168545

Properties of LCM 1077 and 1085

(i) The LCM of 1085 and 1077 is associative

LCM of 1077 and 1085 = LCM of 1085 and 1077

Related Least Common Multiples of 1077

Related Least Common Multiples of 1085

Frequently Asked Questions on LCM of 1077 and 1085

1. What is the LCM of 1077 and 1085?

Answer: LCM of 1077 and 1085 is 1168545.

2. 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.

3. What are the Factors of 1085?

Answer: Factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085. There are 8 integers that are factors of 1085. The greatest factor of 1085 is 1085.

4. How to Find the LCM of 1077 and 1085?

Answer:

Least Common Multiple of 1077 and 1085 = 1168545

Step 1: Find the prime factorization of 1077

1077 = 3 x 359

Step 2: Find the prime factorization of 1085

1085 = 5 x 7 x 31

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

LCM = 1168545 = 3 x 5 x 7 x 31 x 359

Step 4: Therefore, the least common multiple of 1077 and 1085 is 1168545.