Least Common Multiple of 2064 and 2071

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 2071 the smallest integer that is 4274544 that is divisible by both numbers.

Least Common Multiple (LCM) of 2064 and 2071 is 4274544.

LCM(2064,2071) = 4274544

LCM of 2064 and 2071

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

LCM of:
and

Least Common Multiple of 2064 and 2071

LCM of 2064 and 2071 is 4274544

Least common multiple can be found by multiplying the highest exponent prime factors of 2064 and 2071. First we will calculate the prime factors of 2064 and 2071.

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 2071


19 2071
109 109
1

Prime factors of 2071 are 19,109. Prime factorization of 2071 in exponential form is:

2071 = 191×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 2064 and 2071.

LCM(2064,2071) = 24×31×191×431×1091
LCM(2064,2071) = 4274544

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 2071

List of positive integer factors of 2071 that divides 2071 without a remainder.

1, 19, 109, 2071

Least Common Multiple of 2064 and 2071 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 2071, than apply into the LCM equation.

GCF(2064,2071) = 1
LCM(2064,2071) = ( 2064 × 2071) / 1
LCM(2064,2071) = 4274544 / 1
LCM(2064,2071) = 4274544

Properties of LCM 2064 and 2071

(i) The LCM of 2071 and 2064 is associative

LCM of 2064 and 2071 = LCM of 2071 and 2064

Related Least Common Multiples of 2064

Related Least Common Multiples of 2071

Frequently Asked Questions on LCM of 2064 and 2071

1. What is the LCM of 2064 and 2071?

Answer: LCM of 2064 and 2071 is 4274544.

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 2071?

Answer: Factors of 2071 are 1, 19, 109, 2071. There are 4 integers that are factors of 2071. The greatest factor of 2071 is 2071.

4. How to Find the LCM of 2064 and 2071?

Answer:

Least Common Multiple of 2064 and 2071 = 4274544

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 2071

2071 = 19 x 109

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

LCM = 4274544 = 2 x 2 x 2 x 2 x 3 x 19 x 43 x 109

Step 4: Therefore, the least common multiple of 2064 and 2071 is 4274544.