Least Common Multiple of 4074 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 4074 and 4078 the smallest integer that is 8306886 that is divisible by both numbers.

Least Common Multiple (LCM) of 4074 and 4078 is 8306886.

LCM(4074,4078) = 8306886

LCM of 4074 and 4078

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

LCM of:
and

Least Common Multiple of 4074 and 4078

LCM of 4074 and 4078 is 8306886

Least common multiple can be found by multiplying the highest exponent prime factors of 4074 and 4078. First we will calculate the prime factors of 4074 and 4078.

Prime Factorization of 4074


2 4074
3 2037
7 679
97 97
1

Prime factors of 4074 are 2, 3, 7,97. Prime factorization of 4074 in exponential form is:

4074 = 21×31×71×971

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 4074 and 4078.

LCM(4074,4078) = 21×31×71×971×20391
LCM(4074,4078) = 8306886

Factors of 4074

List of positive integer factors of 4074 that divides 4074 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 97, 194, 291, 582, 679, 1358, 2037, 4074

Factors of 4078

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

1, 2, 2039, 4078

Least Common Multiple of 4074 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 4074 and 4078, than apply into the LCM equation.

GCF(4074,4078) = 2
LCM(4074,4078) = ( 4074 × 4078) / 2
LCM(4074,4078) = 16613772 / 2
LCM(4074,4078) = 8306886

Properties of LCM 4074 and 4078

(i) The LCM of 4078 and 4074 is associative

LCM of 4074 and 4078 = LCM of 4078 and 4074

Related Least Common Multiples of 4074

Related Least Common Multiples of 4078

Frequently Asked Questions on LCM of 4074 and 4078

1. What is the LCM of 4074 and 4078?

Answer: LCM of 4074 and 4078 is 8306886.

2. What are the Factors of 4074?

Answer: Factors of 4074 are 1, 2, 3, 6, 7, 14, 21, 42, 97, 194, 291, 582, 679, 1358, 2037, 4074. There are 16 integers that are factors of 4074. The greatest factor of 4074 is 4074.

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 4074 and 4078?

Answer:

Least Common Multiple of 4074 and 4078 = 8306886

Step 1: Find the prime factorization of 4074

4074 = 2 x 3 x 7 x 97

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 = 8306886 = 2 x 3 x 7 x 97 x 2039

Step 4: Therefore, the least common multiple of 4074 and 4078 is 8306886.