Least Common Multiple of 67015 and 67020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 67015 and 67020 the smallest integer that is 898269060 that is divisible by both numbers.

Least Common Multiple (LCM) of 67015 and 67020 is 898269060.

LCM(67015,67020) = 898269060

LCM of 67015 and 67020

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

LCM of:
and

Least Common Multiple of 67015 and 67020

LCM of 67015 and 67020 is 898269060

Least common multiple can be found by multiplying the highest exponent prime factors of 67015 and 67020. First we will calculate the prime factors of 67015 and 67020.

Prime Factorization of 67015


5 67015
13 13403
1031 1031
1

Prime factors of 67015 are 5, 13,1031. Prime factorization of 67015 in exponential form is:

67015 = 51×131×10311

Prime Factorization of 67020


2 67020
2 33510
3 16755
5 5585
1117 1117
1

Prime factors of 67020 are 2, 3, 5,1117. Prime factorization of 67020 in exponential form is:

67020 = 22×31×51×11171

Now multiplying the highest exponent prime factors to calculate the LCM of 67015 and 67020.

LCM(67015,67020) = 22×31×51×131×10311×11171
LCM(67015,67020) = 898269060

Factors of 67015

List of positive integer factors of 67015 that divides 67015 without a remainder.

1, 5, 13, 65, 1031, 5155, 13403, 67015

Factors of 67020

List of positive integer factors of 67020 that divides 67020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1117, 2234, 3351, 4468, 5585, 6702, 11170, 13404, 16755, 22340, 33510, 67020

Least Common Multiple of 67015 and 67020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67015 and 67020, than apply into the LCM equation.

GCF(67015,67020) = 5
LCM(67015,67020) = ( 67015 × 67020) / 5
LCM(67015,67020) = 4491345300 / 5
LCM(67015,67020) = 898269060

Properties of LCM 67015 and 67020

(i) The LCM of 67020 and 67015 is associative

LCM of 67015 and 67020 = LCM of 67020 and 67015

Related Least Common Multiples of 67015

Related Least Common Multiples of 67020

Frequently Asked Questions on LCM of 67015 and 67020

1. What is the LCM of 67015 and 67020?

Answer: LCM of 67015 and 67020 is 898269060.

2. What are the Factors of 67015?

Answer: Factors of 67015 are 1, 5, 13, 65, 1031, 5155, 13403, 67015. There are 8 integers that are factors of 67015. The greatest factor of 67015 is 67015.

3. What are the Factors of 67020?

Answer: Factors of 67020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1117, 2234, 3351, 4468, 5585, 6702, 11170, 13404, 16755, 22340, 33510, 67020. There are 24 integers that are factors of 67020. The greatest factor of 67020 is 67020.

4. How to Find the LCM of 67015 and 67020?

Answer:

Least Common Multiple of 67015 and 67020 = 898269060

Step 1: Find the prime factorization of 67015

67015 = 5 x 13 x 1031

Step 2: Find the prime factorization of 67020

67020 = 2 x 2 x 3 x 5 x 1117

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

LCM = 898269060 = 2 x 2 x 3 x 5 x 13 x 1031 x 1117

Step 4: Therefore, the least common multiple of 67015 and 67020 is 898269060.