Least Common Multiple of 72 and 88

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 88 the smallest integer that is 792 that is divisible by both numbers.

Least Common Multiple (LCM) of 72 and 88 is 792.

LCM(72,88) = 792

LCM of 72 and 88

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

LCM of:
and

Least Common Multiple of 72 and 88

LCM of 72 and 88 is 792

Least common multiple can be found by multiplying the highest exponent prime factors of 72 and 88. First we will calculate the prime factors of 72 and 88.

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 88


2 88
2 44
2 22
11 11
1

Prime factors of 88 are 2,11. Prime factorization of 88 in exponential form is:

88 = 23×111

Now multiplying the highest exponent prime factors to calculate the LCM of 72 and 88.

LCM(72,88) = 23×32×111
LCM(72,88) = 792

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 88

List of positive integer factors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Least Common Multiple of 72 and 88 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 88, than apply into the LCM equation.

GCF(72,88) = 8
LCM(72,88) = ( 72 × 88) / 8
LCM(72,88) = 6336 / 8
LCM(72,88) = 792

Properties of LCM 72 and 88

(i) The LCM of 88 and 72 is associative

LCM of 72 and 88 = LCM of 88 and 72

Related Least Common Multiples of 72

Related Least Common Multiples of 88

Frequently Asked Questions on LCM of 72 and 88

1. What is the LCM of 72 and 88?

Answer: LCM of 72 and 88 is 792.

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 88?

Answer: Factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88. There are 8 integers that are factors of 88. The greatest factor of 88 is 88.

4. How to Find the LCM of 72 and 88?

Answer:

Least Common Multiple of 72 and 88 = 792

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 88

88 = 2 x 2 x 2 x 11

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

LCM = 792 = 2 x 2 x 2 x 3 x 3 x 11

Step 4: Therefore, the least common multiple of 72 and 88 is 792.