Least Common Multiple of 4061 and 4068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4061 and 4068 the smallest integer that is 16520148 that is divisible by both numbers.

Least Common Multiple (LCM) of 4061 and 4068 is 16520148.

LCM(4061,4068) = 16520148

LCM of 4061 and 4068

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

LCM of:
and

Least Common Multiple of 4061 and 4068

LCM of 4061 and 4068 is 16520148

Least common multiple can be found by multiplying the highest exponent prime factors of 4061 and 4068. First we will calculate the prime factors of 4061 and 4068.

Prime Factorization of 4061


31 4061
131 131
1

Prime factors of 4061 are 31,131. Prime factorization of 4061 in exponential form is:

4061 = 311×1311

Prime Factorization of 4068


2 4068
2 2034
3 1017
3 339
113 113
1

Prime factors of 4068 are 2, 3,113. Prime factorization of 4068 in exponential form is:

4068 = 22×32×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4061 and 4068.

LCM(4061,4068) = 22×32×311×1131×1311
LCM(4061,4068) = 16520148

Factors of 4061

List of positive integer factors of 4061 that divides 4061 without a remainder.

1, 31, 131, 4061

Factors of 4068

List of positive integer factors of 4068 that divides 4068 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 113, 226, 339, 452, 678, 1017, 1356, 2034, 4068

Least Common Multiple of 4061 and 4068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4061 and 4068, than apply into the LCM equation.

GCF(4061,4068) = 1
LCM(4061,4068) = ( 4061 × 4068) / 1
LCM(4061,4068) = 16520148 / 1
LCM(4061,4068) = 16520148

Properties of LCM 4061 and 4068

(i) The LCM of 4068 and 4061 is associative

LCM of 4061 and 4068 = LCM of 4068 and 4061

Related Least Common Multiples of 4061

Related Least Common Multiples of 4068

Frequently Asked Questions on LCM of 4061 and 4068

1. What is the LCM of 4061 and 4068?

Answer: LCM of 4061 and 4068 is 16520148.

2. What are the Factors of 4061?

Answer: Factors of 4061 are 1, 31, 131, 4061. There are 4 integers that are factors of 4061. The greatest factor of 4061 is 4061.

3. What are the Factors of 4068?

Answer: Factors of 4068 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 113, 226, 339, 452, 678, 1017, 1356, 2034, 4068. There are 18 integers that are factors of 4068. The greatest factor of 4068 is 4068.

4. How to Find the LCM of 4061 and 4068?

Answer:

Least Common Multiple of 4061 and 4068 = 16520148

Step 1: Find the prime factorization of 4061

4061 = 31 x 131

Step 2: Find the prime factorization of 4068

4068 = 2 x 2 x 3 x 3 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 = 16520148 = 2 x 2 x 3 x 3 x 31 x 113 x 131

Step 4: Therefore, the least common multiple of 4061 and 4068 is 16520148.