Least Common Multiple of 4064 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 4064 and 4068 the smallest integer that is 4133088 that is divisible by both numbers.

Least Common Multiple (LCM) of 4064 and 4068 is 4133088.

LCM(4064,4068) = 4133088

LCM of 4064 and 4068

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

LCM of:
and

Least Common Multiple of 4064 and 4068

LCM of 4064 and 4068 is 4133088

Least common multiple can be found by multiplying the highest exponent prime factors of 4064 and 4068. First we will calculate the prime factors of 4064 and 4068.

Prime Factorization of 4064


2 4064
2 2032
2 1016
2 508
2 254
127 127
1

Prime factors of 4064 are 2,127. Prime factorization of 4064 in exponential form is:

4064 = 25×1271

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 4064 and 4068.

LCM(4064,4068) = 25×32×1131×1271
LCM(4064,4068) = 4133088

Factors of 4064

List of positive integer factors of 4064 that divides 4064 without a remainder.

1, 2, 4, 8, 16, 32, 127, 254, 508, 1016, 2032, 4064

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 4064 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 4064 and 4068, than apply into the LCM equation.

GCF(4064,4068) = 4
LCM(4064,4068) = ( 4064 × 4068) / 4
LCM(4064,4068) = 16532352 / 4
LCM(4064,4068) = 4133088

Properties of LCM 4064 and 4068

(i) The LCM of 4068 and 4064 is associative

LCM of 4064 and 4068 = LCM of 4068 and 4064

Related Least Common Multiples of 4064

Related Least Common Multiples of 4068

Frequently Asked Questions on LCM of 4064 and 4068

1. What is the LCM of 4064 and 4068?

Answer: LCM of 4064 and 4068 is 4133088.

2. What are the Factors of 4064?

Answer: Factors of 4064 are 1, 2, 4, 8, 16, 32, 127, 254, 508, 1016, 2032, 4064. There are 12 integers that are factors of 4064. The greatest factor of 4064 is 4064.

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 4064 and 4068?

Answer:

Least Common Multiple of 4064 and 4068 = 4133088

Step 1: Find the prime factorization of 4064

4064 = 2 x 2 x 2 x 2 x 2 x 127

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 = 4133088 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 113 x 127

Step 4: Therefore, the least common multiple of 4064 and 4068 is 4133088.