Least Common Multiple of 5010 and 5014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5010 and 5014 the smallest integer that is 12560070 that is divisible by both numbers.

Least Common Multiple (LCM) of 5010 and 5014 is 12560070.

LCM(5010,5014) = 12560070

LCM of 5010 and 5014

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

LCM of:
and

Least Common Multiple of 5010 and 5014

LCM of 5010 and 5014 is 12560070

Least common multiple can be found by multiplying the highest exponent prime factors of 5010 and 5014. First we will calculate the prime factors of 5010 and 5014.

Prime Factorization of 5010


2 5010
3 2505
5 835
167 167
1

Prime factors of 5010 are 2, 3, 5,167. Prime factorization of 5010 in exponential form is:

5010 = 21×31×51×1671

Prime Factorization of 5014


2 5014
23 2507
109 109
1

Prime factors of 5014 are 2, 23,109. Prime factorization of 5014 in exponential form is:

5014 = 21×231×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 5010 and 5014.

LCM(5010,5014) = 21×31×51×231×1091×1671
LCM(5010,5014) = 12560070

Factors of 5010

List of positive integer factors of 5010 that divides 5010 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010

Factors of 5014

List of positive integer factors of 5014 that divides 5014 without a remainder.

1, 2, 23, 46, 109, 218, 2507, 5014

Least Common Multiple of 5010 and 5014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5010 and 5014, than apply into the LCM equation.

GCF(5010,5014) = 2
LCM(5010,5014) = ( 5010 × 5014) / 2
LCM(5010,5014) = 25120140 / 2
LCM(5010,5014) = 12560070

Properties of LCM 5010 and 5014

(i) The LCM of 5014 and 5010 is associative

LCM of 5010 and 5014 = LCM of 5014 and 5010

Related Least Common Multiples of 5010

Related Least Common Multiples of 5014

Frequently Asked Questions on LCM of 5010 and 5014

1. What is the LCM of 5010 and 5014?

Answer: LCM of 5010 and 5014 is 12560070.

2. What are the Factors of 5010?

Answer: Factors of 5010 are 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010. There are 16 integers that are factors of 5010. The greatest factor of 5010 is 5010.

3. What are the Factors of 5014?

Answer: Factors of 5014 are 1, 2, 23, 46, 109, 218, 2507, 5014. There are 8 integers that are factors of 5014. The greatest factor of 5014 is 5014.

4. How to Find the LCM of 5010 and 5014?

Answer:

Least Common Multiple of 5010 and 5014 = 12560070

Step 1: Find the prime factorization of 5010

5010 = 2 x 3 x 5 x 167

Step 2: Find the prime factorization of 5014

5014 = 2 x 23 x 109

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

LCM = 12560070 = 2 x 3 x 5 x 23 x 109 x 167

Step 4: Therefore, the least common multiple of 5010 and 5014 is 12560070.