Least Common Multiple of 67008 and 67012

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 67012 the smallest integer that is 1122585024 that is divisible by both numbers.

Least Common Multiple (LCM) of 67008 and 67012 is 1122585024.

LCM(67008,67012) = 1122585024

LCM of 67008 and 67012

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

LCM of:
and

Least Common Multiple of 67008 and 67012

LCM of 67008 and 67012 is 1122585024

Least common multiple can be found by multiplying the highest exponent prime factors of 67008 and 67012. First we will calculate the prime factors of 67008 and 67012.

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 67012


2 67012
2 33506
11 16753
1523 1523
1

Prime factors of 67012 are 2, 11,1523. Prime factorization of 67012 in exponential form is:

67012 = 22×111×15231

Now multiplying the highest exponent prime factors to calculate the LCM of 67008 and 67012.

LCM(67008,67012) = 26×31×111×3491×15231
LCM(67008,67012) = 1122585024

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 67012

List of positive integer factors of 67012 that divides 67012 without a remainder.

1, 2, 4, 11, 22, 44, 1523, 3046, 6092, 16753, 33506, 67012

Least Common Multiple of 67008 and 67012 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 67012, than apply into the LCM equation.

GCF(67008,67012) = 4
LCM(67008,67012) = ( 67008 × 67012) / 4
LCM(67008,67012) = 4490340096 / 4
LCM(67008,67012) = 1122585024

Properties of LCM 67008 and 67012

(i) The LCM of 67012 and 67008 is associative

LCM of 67008 and 67012 = LCM of 67012 and 67008

Related Least Common Multiples of 67008

Related Least Common Multiples of 67012

Frequently Asked Questions on LCM of 67008 and 67012

1. What is the LCM of 67008 and 67012?

Answer: LCM of 67008 and 67012 is 1122585024.

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 67012?

Answer: Factors of 67012 are 1, 2, 4, 11, 22, 44, 1523, 3046, 6092, 16753, 33506, 67012. There are 12 integers that are factors of 67012. The greatest factor of 67012 is 67012.

4. How to Find the LCM of 67008 and 67012?

Answer:

Least Common Multiple of 67008 and 67012 = 1122585024

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 67012

67012 = 2 x 2 x 11 x 1523

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

LCM = 1122585024 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 349 x 1523

Step 4: Therefore, the least common multiple of 67008 and 67012 is 1122585024.