Least Common Multiple of 39010 and 39016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39010 and 39016 the smallest integer that is 761007080 that is divisible by both numbers.

Least Common Multiple (LCM) of 39010 and 39016 is 761007080.

LCM(39010,39016) = 761007080

LCM of 39010 and 39016

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

LCM of:
and

Least Common Multiple of 39010 and 39016

LCM of 39010 and 39016 is 761007080

Least common multiple can be found by multiplying the highest exponent prime factors of 39010 and 39016. First we will calculate the prime factors of 39010 and 39016.

Prime Factorization of 39010


2 39010
5 19505
47 3901
83 83
1

Prime factors of 39010 are 2, 5, 47,83. Prime factorization of 39010 in exponential form is:

39010 = 21×51×471×831

Prime Factorization of 39016


2 39016
2 19508
2 9754
4877 4877
1

Prime factors of 39016 are 2,4877. Prime factorization of 39016 in exponential form is:

39016 = 23×48771

Now multiplying the highest exponent prime factors to calculate the LCM of 39010 and 39016.

LCM(39010,39016) = 23×51×471×831×48771
LCM(39010,39016) = 761007080

Factors of 39010

List of positive integer factors of 39010 that divides 39010 without a remainder.

1, 2, 5, 10, 47, 83, 94, 166, 235, 415, 470, 830, 3901, 7802, 19505, 39010

Factors of 39016

List of positive integer factors of 39016 that divides 39016 without a remainder.

1, 2, 4, 8, 4877, 9754, 19508, 39016

Least Common Multiple of 39010 and 39016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39010 and 39016, than apply into the LCM equation.

GCF(39010,39016) = 2
LCM(39010,39016) = ( 39010 × 39016) / 2
LCM(39010,39016) = 1522014160 / 2
LCM(39010,39016) = 761007080

Properties of LCM 39010 and 39016

(i) The LCM of 39016 and 39010 is associative

LCM of 39010 and 39016 = LCM of 39016 and 39010

Related Least Common Multiples of 39010

Related Least Common Multiples of 39016

Frequently Asked Questions on LCM of 39010 and 39016

1. What is the LCM of 39010 and 39016?

Answer: LCM of 39010 and 39016 is 761007080.

2. What are the Factors of 39010?

Answer: Factors of 39010 are 1, 2, 5, 10, 47, 83, 94, 166, 235, 415, 470, 830, 3901, 7802, 19505, 39010. There are 16 integers that are factors of 39010. The greatest factor of 39010 is 39010.

3. What are the Factors of 39016?

Answer: Factors of 39016 are 1, 2, 4, 8, 4877, 9754, 19508, 39016. There are 8 integers that are factors of 39016. The greatest factor of 39016 is 39016.

4. How to Find the LCM of 39010 and 39016?

Answer:

Least Common Multiple of 39010 and 39016 = 761007080

Step 1: Find the prime factorization of 39010

39010 = 2 x 5 x 47 x 83

Step 2: Find the prime factorization of 39016

39016 = 2 x 2 x 2 x 4877

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

LCM = 761007080 = 2 x 2 x 2 x 5 x 47 x 83 x 4877

Step 4: Therefore, the least common multiple of 39010 and 39016 is 761007080.