Least Common Multiple of 1068 and 1076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1068 and 1076 the smallest integer that is 287292 that is divisible by both numbers.

Least Common Multiple (LCM) of 1068 and 1076 is 287292.

LCM(1068,1076) = 287292

LCM of 1068 and 1076

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

LCM of:
and

Least Common Multiple of 1068 and 1076

LCM of 1068 and 1076 is 287292

Least common multiple can be found by multiplying the highest exponent prime factors of 1068 and 1076. First we will calculate the prime factors of 1068 and 1076.

Prime Factorization of 1068


2 1068
2 534
3 267
89 89
1

Prime factors of 1068 are 2, 3,89. Prime factorization of 1068 in exponential form is:

1068 = 22×31×891

Prime Factorization of 1076


2 1076
2 538
269 269
1

Prime factors of 1076 are 2,269. Prime factorization of 1076 in exponential form is:

1076 = 22×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 1068 and 1076.

LCM(1068,1076) = 22×31×891×2691
LCM(1068,1076) = 287292

Factors of 1068

List of positive integer factors of 1068 that divides 1068 without a remainder.

1, 2, 3, 4, 6, 12, 89, 178, 267, 356, 534, 1068

Factors of 1076

List of positive integer factors of 1076 that divides 1076 without a remainder.

1, 2, 4, 269, 538, 1076

Least Common Multiple of 1068 and 1076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1068 and 1076, than apply into the LCM equation.

GCF(1068,1076) = 4
LCM(1068,1076) = ( 1068 × 1076) / 4
LCM(1068,1076) = 1149168 / 4
LCM(1068,1076) = 287292

Properties of LCM 1068 and 1076

(i) The LCM of 1076 and 1068 is associative

LCM of 1068 and 1076 = LCM of 1076 and 1068

Related Least Common Multiples of 1068

Related Least Common Multiples of 1076

Frequently Asked Questions on LCM of 1068 and 1076

1. What is the LCM of 1068 and 1076?

Answer: LCM of 1068 and 1076 is 287292.

2. What are the Factors of 1068?

Answer: Factors of 1068 are 1, 2, 3, 4, 6, 12, 89, 178, 267, 356, 534, 1068. There are 12 integers that are factors of 1068. The greatest factor of 1068 is 1068.

3. What are the Factors of 1076?

Answer: Factors of 1076 are 1, 2, 4, 269, 538, 1076. There are 6 integers that are factors of 1076. The greatest factor of 1076 is 1076.

4. How to Find the LCM of 1068 and 1076?

Answer:

Least Common Multiple of 1068 and 1076 = 287292

Step 1: Find the prime factorization of 1068

1068 = 2 x 2 x 3 x 89

Step 2: Find the prime factorization of 1076

1076 = 2 x 2 x 269

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

LCM = 287292 = 2 x 2 x 3 x 89 x 269

Step 4: Therefore, the least common multiple of 1068 and 1076 is 287292.