Least Common Multiple of 11068 and 11074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11068 and 11074 the smallest integer that is 61283516 that is divisible by both numbers.

Least Common Multiple (LCM) of 11068 and 11074 is 61283516.

LCM(11068,11074) = 61283516

LCM of 11068 and 11074

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

LCM of:
and

Least Common Multiple of 11068 and 11074

LCM of 11068 and 11074 is 61283516

Least common multiple can be found by multiplying the highest exponent prime factors of 11068 and 11074. First we will calculate the prime factors of 11068 and 11074.

Prime Factorization of 11068


2 11068
2 5534
2767 2767
1

Prime factors of 11068 are 2,2767. Prime factorization of 11068 in exponential form is:

11068 = 22×27671

Prime Factorization of 11074


2 11074
7 5537
7 791
113 113
1

Prime factors of 11074 are 2, 7,113. Prime factorization of 11074 in exponential form is:

11074 = 21×72×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 11068 and 11074.

LCM(11068,11074) = 22×72×1131×27671
LCM(11068,11074) = 61283516

Factors of 11068

List of positive integer factors of 11068 that divides 11068 without a remainder.

1, 2, 4, 2767, 5534, 11068

Factors of 11074

List of positive integer factors of 11074 that divides 11074 without a remainder.

1, 2, 7, 14, 49, 98, 113, 226, 791, 1582, 5537, 11074

Least Common Multiple of 11068 and 11074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11068 and 11074, than apply into the LCM equation.

GCF(11068,11074) = 2
LCM(11068,11074) = ( 11068 × 11074) / 2
LCM(11068,11074) = 122567032 / 2
LCM(11068,11074) = 61283516

Properties of LCM 11068 and 11074

(i) The LCM of 11074 and 11068 is associative

LCM of 11068 and 11074 = LCM of 11074 and 11068

Related Least Common Multiples of 11068

Related Least Common Multiples of 11074

Frequently Asked Questions on LCM of 11068 and 11074

1. What is the LCM of 11068 and 11074?

Answer: LCM of 11068 and 11074 is 61283516.

2. What are the Factors of 11068?

Answer: Factors of 11068 are 1, 2, 4, 2767, 5534, 11068. There are 6 integers that are factors of 11068. The greatest factor of 11068 is 11068.

3. What are the Factors of 11074?

Answer: Factors of 11074 are 1, 2, 7, 14, 49, 98, 113, 226, 791, 1582, 5537, 11074. There are 12 integers that are factors of 11074. The greatest factor of 11074 is 11074.

4. How to Find the LCM of 11068 and 11074?

Answer:

Least Common Multiple of 11068 and 11074 = 61283516

Step 1: Find the prime factorization of 11068

11068 = 2 x 2 x 2767

Step 2: Find the prime factorization of 11074

11074 = 2 x 7 x 7 x 113

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

LCM = 61283516 = 2 x 2 x 7 x 7 x 113 x 2767

Step 4: Therefore, the least common multiple of 11068 and 11074 is 61283516.