Least Common Multiple of 4073 and 4078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 4073 and 4078 the smallest integer that is 16609694 that is divisible by both numbers.

Least Common Multiple (LCM) of 4073 and 4078 is 16609694.

LCM(4073,4078) = 16609694

LCM of 4073 and 4078

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

LCM of:
and

Least Common Multiple of 4073 and 4078

LCM of 4073 and 4078 is 16609694

Least common multiple can be found by multiplying the highest exponent prime factors of 4073 and 4078. First we will calculate the prime factors of 4073 and 4078.

Prime Factorization of 4073


4073 4073
1

Prime factors of 4073 are 4073. Prime factorization of 4073 in exponential form is:

4073 = 40731

Prime Factorization of 4078


2 4078
2039 2039
1

Prime factors of 4078 are 2,2039. Prime factorization of 4078 in exponential form is:

4078 = 21×20391

Now multiplying the highest exponent prime factors to calculate the LCM of 4073 and 4078.

LCM(4073,4078) = 21×20391×40731
LCM(4073,4078) = 16609694

Factors of 4073

List of positive integer factors of 4073 that divides 4073 without a remainder.

1, 4073

Factors of 4078

List of positive integer factors of 4078 that divides 4078 without a remainder.

1, 2, 2039, 4078

Least Common Multiple of 4073 and 4078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4073 and 4078, than apply into the LCM equation.

GCF(4073,4078) = 1
LCM(4073,4078) = ( 4073 × 4078) / 1
LCM(4073,4078) = 16609694 / 1
LCM(4073,4078) = 16609694

Properties of LCM 4073 and 4078

(i) The LCM of 4078 and 4073 is associative

LCM of 4073 and 4078 = LCM of 4078 and 4073

Frequently Asked Questions on LCM of 4073 and 4078

1. What is the LCM of 4073 and 4078?

Answer: LCM of 4073 and 4078 is 16609694.

2. What are the Factors of 4073?

Answer: Factors of 4073 are 1, 4073. There are 2 integers that are factors of 4073. The greatest factor of 4073 is 4073.

3. What are the Factors of 4078?

Answer: Factors of 4078 are 1, 2, 2039, 4078. There are 4 integers that are factors of 4078. The greatest factor of 4078 is 4078.

4. How to Find the LCM of 4073 and 4078?

Answer:

Least Common Multiple of 4073 and 4078 = 16609694

Step 1: Find the prime factorization of 4073

4073 = 4073

Step 2: Find the prime factorization of 4078

4078 = 2 x 2039

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

LCM = 16609694 = 2 x 2039 x 4073

Step 4: Therefore, the least common multiple of 4073 and 4078 is 16609694.