Least Common Multiple of 1074 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 1074 and 1077 the smallest integer that is 385566 that is divisible by both numbers.

Least Common Multiple (LCM) of 1074 and 1077 is 385566.

LCM(1074,1077) = 385566

LCM of 1074 and 1077

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

LCM of:
and

Least Common Multiple of 1074 and 1077

LCM of 1074 and 1077 is 385566

Least common multiple can be found by multiplying the highest exponent prime factors of 1074 and 1077. First we will calculate the prime factors of 1074 and 1077.

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 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 1074 and 1077.

LCM(1074,1077) = 21×31×1791×3591
LCM(1074,1077) = 385566

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 1077

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

1, 3, 359, 1077

Least Common Multiple of 1074 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 1074 and 1077, than apply into the LCM equation.

GCF(1074,1077) = 3
LCM(1074,1077) = ( 1074 × 1077) / 3
LCM(1074,1077) = 1156698 / 3
LCM(1074,1077) = 385566

Properties of LCM 1074 and 1077

(i) The LCM of 1077 and 1074 is associative

LCM of 1074 and 1077 = LCM of 1077 and 1074

Related Least Common Multiples of 1074

Related Least Common Multiples of 1077

Frequently Asked Questions on LCM of 1074 and 1077

1. What is the LCM of 1074 and 1077?

Answer: LCM of 1074 and 1077 is 385566.

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 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 1074 and 1077?

Answer:

Least Common Multiple of 1074 and 1077 = 385566

Step 1: Find the prime factorization of 1074

1074 = 2 x 3 x 179

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 = 385566 = 2 x 3 x 179 x 359

Step 4: Therefore, the least common multiple of 1074 and 1077 is 385566.