Least Common Multiple of 2064 and 2069

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2064 and 2069 the smallest integer that is 4270416 that is divisible by both numbers.

Least Common Multiple (LCM) of 2064 and 2069 is 4270416.

LCM(2064,2069) = 4270416

LCM of 2064 and 2069

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

LCM of:
and

Least Common Multiple of 2064 and 2069

LCM of 2064 and 2069 is 4270416

Least common multiple can be found by multiplying the highest exponent prime factors of 2064 and 2069. First we will calculate the prime factors of 2064 and 2069.

Prime Factorization of 2064


2 2064
2 1032
2 516
2 258
3 129
43 43
1

Prime factors of 2064 are 2, 3,43. Prime factorization of 2064 in exponential form is:

2064 = 24×31×431

Prime Factorization of 2069


2069 2069
1

Prime factors of 2069 are 2069. Prime factorization of 2069 in exponential form is:

2069 = 20691

Now multiplying the highest exponent prime factors to calculate the LCM of 2064 and 2069.

LCM(2064,2069) = 24×31×431×20691
LCM(2064,2069) = 4270416

Factors of 2064

List of positive integer factors of 2064 that divides 2064 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032, 2064

Factors of 2069

List of positive integer factors of 2069 that divides 2069 without a remainder.

1, 2069

Least Common Multiple of 2064 and 2069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2064 and 2069, than apply into the LCM equation.

GCF(2064,2069) = 1
LCM(2064,2069) = ( 2064 × 2069) / 1
LCM(2064,2069) = 4270416 / 1
LCM(2064,2069) = 4270416

Properties of LCM 2064 and 2069

(i) The LCM of 2069 and 2064 is associative

LCM of 2064 and 2069 = LCM of 2069 and 2064

Related Least Common Multiples of 2064

Related Least Common Multiples of 2069

Frequently Asked Questions on LCM of 2064 and 2069

1. What is the LCM of 2064 and 2069?

Answer: LCM of 2064 and 2069 is 4270416.

2. What are the Factors of 2064?

Answer: Factors of 2064 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032, 2064. There are 20 integers that are factors of 2064. The greatest factor of 2064 is 2064.

3. What are the Factors of 2069?

Answer: Factors of 2069 are 1, 2069. There are 2 integers that are factors of 2069. The greatest factor of 2069 is 2069.

4. How to Find the LCM of 2064 and 2069?

Answer:

Least Common Multiple of 2064 and 2069 = 4270416

Step 1: Find the prime factorization of 2064

2064 = 2 x 2 x 2 x 2 x 3 x 43

Step 2: Find the prime factorization of 2069

2069 = 2069

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

LCM = 4270416 = 2 x 2 x 2 x 2 x 3 x 43 x 2069

Step 4: Therefore, the least common multiple of 2064 and 2069 is 4270416.