Least Common Multiple of 67008 and 67013

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 67008 and 67013 the smallest integer that is 4490407104 that is divisible by both numbers.

Least Common Multiple (LCM) of 67008 and 67013 is 4490407104.

LCM(67008,67013) = 4490407104

LCM of 67008 and 67013

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

LCM of:
and

Least Common Multiple of 67008 and 67013

LCM of 67008 and 67013 is 4490407104

Least common multiple can be found by multiplying the highest exponent prime factors of 67008 and 67013. First we will calculate the prime factors of 67008 and 67013.

Prime Factorization of 67008


2 67008
2 33504
2 16752
2 8376
2 4188
2 2094
3 1047
349 349
1

Prime factors of 67008 are 2, 3,349. Prime factorization of 67008 in exponential form is:

67008 = 26×31×3491

Prime Factorization of 67013


19 67013
3527 3527
1

Prime factors of 67013 are 19,3527. Prime factorization of 67013 in exponential form is:

67013 = 191×35271

Now multiplying the highest exponent prime factors to calculate the LCM of 67008 and 67013.

LCM(67008,67013) = 26×31×191×3491×35271
LCM(67008,67013) = 4490407104

Factors of 67008

List of positive integer factors of 67008 that divides 67008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 349, 698, 1047, 1396, 2094, 2792, 4188, 5584, 8376, 11168, 16752, 22336, 33504, 67008

Factors of 67013

List of positive integer factors of 67013 that divides 67013 without a remainder.

1, 19, 3527, 67013

Least Common Multiple of 67008 and 67013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67008 and 67013, than apply into the LCM equation.

GCF(67008,67013) = 1
LCM(67008,67013) = ( 67008 × 67013) / 1
LCM(67008,67013) = 4490407104 / 1
LCM(67008,67013) = 4490407104

Properties of LCM 67008 and 67013

(i) The LCM of 67013 and 67008 is associative

LCM of 67008 and 67013 = LCM of 67013 and 67008

Related Least Common Multiples of 67008

Related Least Common Multiples of 67013

Frequently Asked Questions on LCM of 67008 and 67013

1. What is the LCM of 67008 and 67013?

Answer: LCM of 67008 and 67013 is 4490407104.

2. What are the Factors of 67008?

Answer: Factors of 67008 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 349, 698, 1047, 1396, 2094, 2792, 4188, 5584, 8376, 11168, 16752, 22336, 33504, 67008. There are 28 integers that are factors of 67008. The greatest factor of 67008 is 67008.

3. What are the Factors of 67013?

Answer: Factors of 67013 are 1, 19, 3527, 67013. There are 4 integers that are factors of 67013. The greatest factor of 67013 is 67013.

4. How to Find the LCM of 67008 and 67013?

Answer:

Least Common Multiple of 67008 and 67013 = 4490407104

Step 1: Find the prime factorization of 67008

67008 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 349

Step 2: Find the prime factorization of 67013

67013 = 19 x 3527

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

LCM = 4490407104 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19 x 349 x 3527

Step 4: Therefore, the least common multiple of 67008 and 67013 is 4490407104.