Least Common Multiple of 67048 and 67053

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 67048 and 67053 the smallest integer that is 4495769544 that is divisible by both numbers.

Least Common Multiple (LCM) of 67048 and 67053 is 4495769544.

LCM(67048,67053) = 4495769544

LCM of 67048 and 67053

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

LCM of:
and

Least Common Multiple of 67048 and 67053

LCM of 67048 and 67053 is 4495769544

Least common multiple can be found by multiplying the highest exponent prime factors of 67048 and 67053. First we will calculate the prime factors of 67048 and 67053.

Prime Factorization of 67048


2 67048
2 33524
2 16762
17 8381
17 493
29 29
1

Prime factors of 67048 are 2, 17,29. Prime factorization of 67048 in exponential form is:

67048 = 23×172×291

Prime Factorization of 67053


3 67053
7 22351
31 3193
103 103
1

Prime factors of 67053 are 3, 7, 31,103. Prime factorization of 67053 in exponential form is:

67053 = 31×71×311×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 67048 and 67053.

LCM(67048,67053) = 23×31×71×172×291×311×1031
LCM(67048,67053) = 4495769544

Factors of 67048

List of positive integer factors of 67048 that divides 67048 without a remainder.

1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 289, 493, 578, 986, 1156, 1972, 2312, 3944, 8381, 16762, 33524, 67048

Factors of 67053

List of positive integer factors of 67053 that divides 67053 without a remainder.

1, 3, 7, 21, 31, 93, 103, 217, 309, 651, 721, 2163, 3193, 9579, 22351, 67053

Least Common Multiple of 67048 and 67053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67048 and 67053, than apply into the LCM equation.

GCF(67048,67053) = 1
LCM(67048,67053) = ( 67048 × 67053) / 1
LCM(67048,67053) = 4495769544 / 1
LCM(67048,67053) = 4495769544

Properties of LCM 67048 and 67053

(i) The LCM of 67053 and 67048 is associative

LCM of 67048 and 67053 = LCM of 67053 and 67048

Related Least Common Multiples of 67048

Related Least Common Multiples of 67053

Frequently Asked Questions on LCM of 67048 and 67053

1. What is the LCM of 67048 and 67053?

Answer: LCM of 67048 and 67053 is 4495769544.

2. What are the Factors of 67048?

Answer: Factors of 67048 are 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 289, 493, 578, 986, 1156, 1972, 2312, 3944, 8381, 16762, 33524, 67048. There are 24 integers that are factors of 67048. The greatest factor of 67048 is 67048.

3. What are the Factors of 67053?

Answer: Factors of 67053 are 1, 3, 7, 21, 31, 93, 103, 217, 309, 651, 721, 2163, 3193, 9579, 22351, 67053. There are 16 integers that are factors of 67053. The greatest factor of 67053 is 67053.

4. How to Find the LCM of 67048 and 67053?

Answer:

Least Common Multiple of 67048 and 67053 = 4495769544

Step 1: Find the prime factorization of 67048

67048 = 2 x 2 x 2 x 17 x 17 x 29

Step 2: Find the prime factorization of 67053

67053 = 3 x 7 x 31 x 103

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

LCM = 4495769544 = 2 x 2 x 2 x 3 x 7 x 17 x 17 x 29 x 31 x 103

Step 4: Therefore, the least common multiple of 67048 and 67053 is 4495769544.