Least Common Multiple of 10073 and 10079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10073 and 10079 the smallest integer that is 101525767 that is divisible by both numbers.

Least Common Multiple (LCM) of 10073 and 10079 is 101525767.

LCM(10073,10079) = 101525767

LCM of 10073 and 10079

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

LCM of:
and

Least Common Multiple of 10073 and 10079

LCM of 10073 and 10079 is 101525767

Least common multiple can be found by multiplying the highest exponent prime factors of 10073 and 10079. First we will calculate the prime factors of 10073 and 10079.

Prime Factorization of 10073


7 10073
1439 1439
1

Prime factors of 10073 are 7,1439. Prime factorization of 10073 in exponential form is:

10073 = 71×14391

Prime Factorization of 10079


10079 10079
1

Prime factors of 10079 are 10079. Prime factorization of 10079 in exponential form is:

10079 = 100791

Now multiplying the highest exponent prime factors to calculate the LCM of 10073 and 10079.

LCM(10073,10079) = 71×14391×100791
LCM(10073,10079) = 101525767

Factors of 10073

List of positive integer factors of 10073 that divides 10073 without a remainder.

1, 7, 1439, 10073

Factors of 10079

List of positive integer factors of 10079 that divides 10079 without a remainder.

1, 10079

Least Common Multiple of 10073 and 10079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10073 and 10079, than apply into the LCM equation.

GCF(10073,10079) = 1
LCM(10073,10079) = ( 10073 × 10079) / 1
LCM(10073,10079) = 101525767 / 1
LCM(10073,10079) = 101525767

Properties of LCM 10073 and 10079

(i) The LCM of 10079 and 10073 is associative

LCM of 10073 and 10079 = LCM of 10079 and 10073

Related Least Common Multiples of 10073

Related Least Common Multiples of 10079

Frequently Asked Questions on LCM of 10073 and 10079

1. What is the LCM of 10073 and 10079?

Answer: LCM of 10073 and 10079 is 101525767.

2. What are the Factors of 10073?

Answer: Factors of 10073 are 1, 7, 1439, 10073. There are 4 integers that are factors of 10073. The greatest factor of 10073 is 10073.

3. What are the Factors of 10079?

Answer: Factors of 10079 are 1, 10079. There are 2 integers that are factors of 10079. The greatest factor of 10079 is 10079.

4. How to Find the LCM of 10073 and 10079?

Answer:

Least Common Multiple of 10073 and 10079 = 101525767

Step 1: Find the prime factorization of 10073

10073 = 7 x 1439

Step 2: Find the prime factorization of 10079

10079 = 10079

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

LCM = 101525767 = 7 x 1439 x 10079

Step 4: Therefore, the least common multiple of 10073 and 10079 is 101525767.