Least Common Multiple of 68 and 73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 68 and 73 the smallest integer that is 4964 that is divisible by both numbers.

Least Common Multiple (LCM) of 68 and 73 is 4964.

LCM(68,73) = 4964

LCM of 68 and 73

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

LCM of:
and

Least Common Multiple of 68 and 73

LCM of 68 and 73 is 4964

Least common multiple can be found by multiplying the highest exponent prime factors of 68 and 73. First we will calculate the prime factors of 68 and 73.

Prime Factorization of 68


2 68
2 34
17 17
1

Prime factors of 68 are 2,17. Prime factorization of 68 in exponential form is:

68 = 22×171

Prime Factorization of 73


73 73
1

Prime factors of 73 are 73. Prime factorization of 73 in exponential form is:

73 = 731

Now multiplying the highest exponent prime factors to calculate the LCM of 68 and 73.

LCM(68,73) = 22×171×731
LCM(68,73) = 4964

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1, 73

Least Common Multiple of 68 and 73 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68 and 73, than apply into the LCM equation.

GCF(68,73) = 1
LCM(68,73) = ( 68 × 73) / 1
LCM(68,73) = 4964 / 1
LCM(68,73) = 4964

Properties of LCM 68 and 73

(i) The LCM of 73 and 68 is associative

LCM of 68 and 73 = LCM of 73 and 68

Related Least Common Multiples of 68

Related Least Common Multiples of 73

Frequently Asked Questions on LCM of 68 and 73

1. What is the LCM of 68 and 73?

Answer: LCM of 68 and 73 is 4964.

2. What are the Factors of 68?

Answer: Factors of 68 are 1, 2, 4, 17, 34, 68. There are 6 integers that are factors of 68. The greatest factor of 68 is 68.

3. What are the Factors of 73?

Answer: Factors of 73 are 1, 73. There are 2 integers that are factors of 73. The greatest factor of 73 is 73.

4. How to Find the LCM of 68 and 73?

Answer:

Least Common Multiple of 68 and 73 = 4964

Step 1: Find the prime factorization of 68

68 = 2 x 2 x 17

Step 2: Find the prime factorization of 73

73 = 73

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

LCM = 4964 = 2 x 2 x 17 x 73

Step 4: Therefore, the least common multiple of 68 and 73 is 4964.