Least Common Multiple of 4068 and 4076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4068 and 4076 the smallest integer that is 4145292 that is divisible by both numbers.

Least Common Multiple (LCM) of 4068 and 4076 is 4145292.

LCM(4068,4076) = 4145292

LCM of 4068 and 4076

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

LCM of:
and

Least Common Multiple of 4068 and 4076

LCM of 4068 and 4076 is 4145292

Least common multiple can be found by multiplying the highest exponent prime factors of 4068 and 4076. First we will calculate the prime factors of 4068 and 4076.

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

Prime Factorization of 4076


2 4076
2 2038
1019 1019
1

Prime factors of 4076 are 2,1019. Prime factorization of 4076 in exponential form is:

4076 = 22×10191

Now multiplying the highest exponent prime factors to calculate the LCM of 4068 and 4076.

LCM(4068,4076) = 22×32×1131×10191
LCM(4068,4076) = 4145292

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

Factors of 4076

List of positive integer factors of 4076 that divides 4076 without a remainder.

1, 2, 4, 1019, 2038, 4076

Least Common Multiple of 4068 and 4076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4068 and 4076, than apply into the LCM equation.

GCF(4068,4076) = 4
LCM(4068,4076) = ( 4068 × 4076) / 4
LCM(4068,4076) = 16581168 / 4
LCM(4068,4076) = 4145292

Properties of LCM 4068 and 4076

(i) The LCM of 4076 and 4068 is associative

LCM of 4068 and 4076 = LCM of 4076 and 4068

Related Least Common Multiples of 4068

Related Least Common Multiples of 4076

Frequently Asked Questions on LCM of 4068 and 4076

1. What is the LCM of 4068 and 4076?

Answer: LCM of 4068 and 4076 is 4145292.

2. 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.

3. What are the Factors of 4076?

Answer: Factors of 4076 are 1, 2, 4, 1019, 2038, 4076. There are 6 integers that are factors of 4076. The greatest factor of 4076 is 4076.

4. How to Find the LCM of 4068 and 4076?

Answer:

Least Common Multiple of 4068 and 4076 = 4145292

Step 1: Find the prime factorization of 4068

4068 = 2 x 2 x 3 x 3 x 113

Step 2: Find the prime factorization of 4076

4076 = 2 x 2 x 1019

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

LCM = 4145292 = 2 x 2 x 3 x 3 x 113 x 1019

Step 4: Therefore, the least common multiple of 4068 and 4076 is 4145292.