Least Common Multiple of 1068 and 1072

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 1072 the smallest integer that is 286224 that is divisible by both numbers.

Least Common Multiple (LCM) of 1068 and 1072 is 286224.

LCM(1068,1072) = 286224

LCM of 1068 and 1072

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

LCM of:
and

Least Common Multiple of 1068 and 1072

LCM of 1068 and 1072 is 286224

Least common multiple can be found by multiplying the highest exponent prime factors of 1068 and 1072. First we will calculate the prime factors of 1068 and 1072.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1068 and 1072.

LCM(1068,1072) = 24×31×671×891
LCM(1068,1072) = 286224

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 1072

List of positive integer factors of 1072 that divides 1072 without a remainder.

1, 2, 4, 8, 16, 67, 134, 268, 536, 1072

Least Common Multiple of 1068 and 1072 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 1072, than apply into the LCM equation.

GCF(1068,1072) = 4
LCM(1068,1072) = ( 1068 × 1072) / 4
LCM(1068,1072) = 1144896 / 4
LCM(1068,1072) = 286224

Properties of LCM 1068 and 1072

(i) The LCM of 1072 and 1068 is associative

LCM of 1068 and 1072 = LCM of 1072 and 1068

Related Least Common Multiples of 1068

Related Least Common Multiples of 1072

Frequently Asked Questions on LCM of 1068 and 1072

1. What is the LCM of 1068 and 1072?

Answer: LCM of 1068 and 1072 is 286224.

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 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.

4. How to Find the LCM of 1068 and 1072?

Answer:

Least Common Multiple of 1068 and 1072 = 286224

Step 1: Find the prime factorization of 1068

1068 = 2 x 2 x 3 x 89

Step 2: Find the prime factorization of 1072

1072 = 2 x 2 x 2 x 2 x 67

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

LCM = 286224 = 2 x 2 x 2 x 2 x 3 x 67 x 89

Step 4: Therefore, the least common multiple of 1068 and 1072 is 286224.