Least Common Multiple of 72 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 72 and 73 the smallest integer that is 5256 that is divisible by both numbers.

Least Common Multiple (LCM) of 72 and 73 is 5256.

LCM(72,73) = 5256

LCM of 72 and 73

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

LCM of:
and

Least Common Multiple of 72 and 73

LCM of 72 and 73 is 5256

Least common multiple can be found by multiplying the highest exponent prime factors of 72 and 73. First we will calculate the prime factors of 72 and 73.

Prime Factorization of 72


2 72
2 36
2 18
3 9
3 3
1

Prime factors of 72 are 2,3. Prime factorization of 72 in exponential form is:

72 = 23×32

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 72 and 73.

LCM(72,73) = 23×32×731
LCM(72,73) = 5256

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Factors of 73

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

1, 73

Least Common Multiple of 72 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 72 and 73, than apply into the LCM equation.

GCF(72,73) = 1
LCM(72,73) = ( 72 × 73) / 1
LCM(72,73) = 5256 / 1
LCM(72,73) = 5256

Properties of LCM 72 and 73

(i) The LCM of 73 and 72 is associative

LCM of 72 and 73 = LCM of 73 and 72

Related Least Common Multiples of 72

Related Least Common Multiples of 73

Frequently Asked Questions on LCM of 72 and 73

1. What is the LCM of 72 and 73?

Answer: LCM of 72 and 73 is 5256.

2. What are the Factors of 72?

Answer: Factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. There are 12 integers that are factors of 72. The greatest factor of 72 is 72.

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 72 and 73?

Answer:

Least Common Multiple of 72 and 73 = 5256

Step 1: Find the prime factorization of 72

72 = 2 x 2 x 2 x 3 x 3

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 = 5256 = 2 x 2 x 2 x 3 x 3 x 73

Step 4: Therefore, the least common multiple of 72 and 73 is 5256.