Least Common Multiple of 1062 and 1068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1062 and 1068 the smallest integer that is 189036 that is divisible by both numbers.

Least Common Multiple (LCM) of 1062 and 1068 is 189036.

LCM(1062,1068) = 189036

LCM of 1062 and 1068

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

LCM of:
and

Least Common Multiple of 1062 and 1068

LCM of 1062 and 1068 is 189036

Least common multiple can be found by multiplying the highest exponent prime factors of 1062 and 1068. First we will calculate the prime factors of 1062 and 1068.

Prime Factorization of 1062


2 1062
3 531
3 177
59 59
1

Prime factors of 1062 are 2, 3,59. Prime factorization of 1062 in exponential form is:

1062 = 21×32×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1062 and 1068.

LCM(1062,1068) = 22×32×591×891
LCM(1062,1068) = 189036

Factors of 1062

List of positive integer factors of 1062 that divides 1062 without a remainder.

1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, 1062

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

Least Common Multiple of 1062 and 1068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1062 and 1068, than apply into the LCM equation.

GCF(1062,1068) = 6
LCM(1062,1068) = ( 1062 × 1068) / 6
LCM(1062,1068) = 1134216 / 6
LCM(1062,1068) = 189036

Properties of LCM 1062 and 1068

(i) The LCM of 1068 and 1062 is associative

LCM of 1062 and 1068 = LCM of 1068 and 1062

Related Least Common Multiples of 1062

Related Least Common Multiples of 1068

Frequently Asked Questions on LCM of 1062 and 1068

1. What is the LCM of 1062 and 1068?

Answer: LCM of 1062 and 1068 is 189036.

2. What are the Factors of 1062?

Answer: Factors of 1062 are 1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, 1062. There are 12 integers that are factors of 1062. The greatest factor of 1062 is 1062.

3. 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.

4. How to Find the LCM of 1062 and 1068?

Answer:

Least Common Multiple of 1062 and 1068 = 189036

Step 1: Find the prime factorization of 1062

1062 = 2 x 3 x 3 x 59

Step 2: Find the prime factorization of 1068

1068 = 2 x 2 x 3 x 89

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

LCM = 189036 = 2 x 2 x 3 x 3 x 59 x 89

Step 4: Therefore, the least common multiple of 1062 and 1068 is 189036.