Least Common Multiple of 2071 and 2078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2071 and 2078 the smallest integer that is 4303538 that is divisible by both numbers.

Least Common Multiple (LCM) of 2071 and 2078 is 4303538.

LCM(2071,2078) = 4303538

LCM of 2071 and 2078

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

LCM of:
and

Least Common Multiple of 2071 and 2078

LCM of 2071 and 2078 is 4303538

Least common multiple can be found by multiplying the highest exponent prime factors of 2071 and 2078. First we will calculate the prime factors of 2071 and 2078.

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

Prime Factorization of 2078


2 2078
1039 1039
1

Prime factors of 2078 are 2,1039. Prime factorization of 2078 in exponential form is:

2078 = 21×10391

Now multiplying the highest exponent prime factors to calculate the LCM of 2071 and 2078.

LCM(2071,2078) = 21×191×1091×10391
LCM(2071,2078) = 4303538

Factors of 2071

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

1, 19, 109, 2071

Factors of 2078

List of positive integer factors of 2078 that divides 2078 without a remainder.

1, 2, 1039, 2078

Least Common Multiple of 2071 and 2078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2071 and 2078, than apply into the LCM equation.

GCF(2071,2078) = 1
LCM(2071,2078) = ( 2071 × 2078) / 1
LCM(2071,2078) = 4303538 / 1
LCM(2071,2078) = 4303538

Properties of LCM 2071 and 2078

(i) The LCM of 2078 and 2071 is associative

LCM of 2071 and 2078 = LCM of 2078 and 2071

Related Least Common Multiples of 2071

Related Least Common Multiples of 2078

Frequently Asked Questions on LCM of 2071 and 2078

1. What is the LCM of 2071 and 2078?

Answer: LCM of 2071 and 2078 is 4303538.

2. 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.

3. What are the Factors of 2078?

Answer: Factors of 2078 are 1, 2, 1039, 2078. There are 4 integers that are factors of 2078. The greatest factor of 2078 is 2078.

4. How to Find the LCM of 2071 and 2078?

Answer:

Least Common Multiple of 2071 and 2078 = 4303538

Step 1: Find the prime factorization of 2071

2071 = 19 x 109

Step 2: Find the prime factorization of 2078

2078 = 2 x 1039

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

LCM = 4303538 = 2 x 19 x 109 x 1039

Step 4: Therefore, the least common multiple of 2071 and 2078 is 4303538.