Least Common Multiple of 43064 and 43068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 43064 and 43068 the smallest integer that is 463670088 that is divisible by both numbers.

Least Common Multiple (LCM) of 43064 and 43068 is 463670088.

LCM(43064,43068) = 463670088

LCM of 43064 and 43068

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

LCM of:
and

Least Common Multiple of 43064 and 43068

LCM of 43064 and 43068 is 463670088

Least common multiple can be found by multiplying the highest exponent prime factors of 43064 and 43068. First we will calculate the prime factors of 43064 and 43068.

Prime Factorization of 43064


2 43064
2 21532
2 10766
7 5383
769 769
1

Prime factors of 43064 are 2, 7,769. Prime factorization of 43064 in exponential form is:

43064 = 23×71×7691

Prime Factorization of 43068


2 43068
2 21534
3 10767
37 3589
97 97
1

Prime factors of 43068 are 2, 3, 37,97. Prime factorization of 43068 in exponential form is:

43068 = 22×31×371×971

Now multiplying the highest exponent prime factors to calculate the LCM of 43064 and 43068.

LCM(43064,43068) = 23×31×71×371×971×7691
LCM(43064,43068) = 463670088

Factors of 43064

List of positive integer factors of 43064 that divides 43064 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 769, 1538, 3076, 5383, 6152, 10766, 21532, 43064

Factors of 43068

List of positive integer factors of 43068 that divides 43068 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 97, 111, 148, 194, 222, 291, 388, 444, 582, 1164, 3589, 7178, 10767, 14356, 21534, 43068

Least Common Multiple of 43064 and 43068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43064 and 43068, than apply into the LCM equation.

GCF(43064,43068) = 4
LCM(43064,43068) = ( 43064 × 43068) / 4
LCM(43064,43068) = 1854680352 / 4
LCM(43064,43068) = 463670088

Properties of LCM 43064 and 43068

(i) The LCM of 43068 and 43064 is associative

LCM of 43064 and 43068 = LCM of 43068 and 43064

Related Least Common Multiples of 43064

Related Least Common Multiples of 43068

Frequently Asked Questions on LCM of 43064 and 43068

1. What is the LCM of 43064 and 43068?

Answer: LCM of 43064 and 43068 is 463670088.

2. What are the Factors of 43064?

Answer: Factors of 43064 are 1, 2, 4, 7, 8, 14, 28, 56, 769, 1538, 3076, 5383, 6152, 10766, 21532, 43064. There are 16 integers that are factors of 43064. The greatest factor of 43064 is 43064.

3. What are the Factors of 43068?

Answer: Factors of 43068 are 1, 2, 3, 4, 6, 12, 37, 74, 97, 111, 148, 194, 222, 291, 388, 444, 582, 1164, 3589, 7178, 10767, 14356, 21534, 43068. There are 24 integers that are factors of 43068. The greatest factor of 43068 is 43068.

4. How to Find the LCM of 43064 and 43068?

Answer:

Least Common Multiple of 43064 and 43068 = 463670088

Step 1: Find the prime factorization of 43064

43064 = 2 x 2 x 2 x 7 x 769

Step 2: Find the prime factorization of 43068

43068 = 2 x 2 x 3 x 37 x 97

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

LCM = 463670088 = 2 x 2 x 2 x 3 x 7 x 37 x 97 x 769

Step 4: Therefore, the least common multiple of 43064 and 43068 is 463670088.