Least Common Multiple of 10074 and 10078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10074 and 10078 the smallest integer that is 50762886 that is divisible by both numbers.

Least Common Multiple (LCM) of 10074 and 10078 is 50762886.

LCM(10074,10078) = 50762886

LCM of 10074 and 10078

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

LCM of:
and

Least Common Multiple of 10074 and 10078

LCM of 10074 and 10078 is 50762886

Least common multiple can be found by multiplying the highest exponent prime factors of 10074 and 10078. First we will calculate the prime factors of 10074 and 10078.

Prime Factorization of 10074


2 10074
3 5037
23 1679
73 73
1

Prime factors of 10074 are 2, 3, 23,73. Prime factorization of 10074 in exponential form is:

10074 = 21×31×231×731

Prime Factorization of 10078


2 10078
5039 5039
1

Prime factors of 10078 are 2,5039. Prime factorization of 10078 in exponential form is:

10078 = 21×50391

Now multiplying the highest exponent prime factors to calculate the LCM of 10074 and 10078.

LCM(10074,10078) = 21×31×231×731×50391
LCM(10074,10078) = 50762886

Factors of 10074

List of positive integer factors of 10074 that divides 10074 without a remainder.

1, 2, 3, 6, 23, 46, 69, 73, 138, 146, 219, 438, 1679, 3358, 5037, 10074

Factors of 10078

List of positive integer factors of 10078 that divides 10078 without a remainder.

1, 2, 5039, 10078

Least Common Multiple of 10074 and 10078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10074 and 10078, than apply into the LCM equation.

GCF(10074,10078) = 2
LCM(10074,10078) = ( 10074 × 10078) / 2
LCM(10074,10078) = 101525772 / 2
LCM(10074,10078) = 50762886

Properties of LCM 10074 and 10078

(i) The LCM of 10078 and 10074 is associative

LCM of 10074 and 10078 = LCM of 10078 and 10074

Related Least Common Multiples of 10074

Related Least Common Multiples of 10078

Frequently Asked Questions on LCM of 10074 and 10078

1. What is the LCM of 10074 and 10078?

Answer: LCM of 10074 and 10078 is 50762886.

2. What are the Factors of 10074?

Answer: Factors of 10074 are 1, 2, 3, 6, 23, 46, 69, 73, 138, 146, 219, 438, 1679, 3358, 5037, 10074. There are 16 integers that are factors of 10074. The greatest factor of 10074 is 10074.

3. What are the Factors of 10078?

Answer: Factors of 10078 are 1, 2, 5039, 10078. There are 4 integers that are factors of 10078. The greatest factor of 10078 is 10078.

4. How to Find the LCM of 10074 and 10078?

Answer:

Least Common Multiple of 10074 and 10078 = 50762886

Step 1: Find the prime factorization of 10074

10074 = 2 x 3 x 23 x 73

Step 2: Find the prime factorization of 10078

10078 = 2 x 5039

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

LCM = 50762886 = 2 x 3 x 23 x 73 x 5039

Step 4: Therefore, the least common multiple of 10074 and 10078 is 50762886.