Least Common Multiple of 62 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 62 and 88 the smallest integer that is 2728 that is divisible by both numbers.

Least Common Multiple (LCM) of 62 and 88 is 2728.

LCM(62,88) = 2728

LCM of 62 and 88

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

LCM of:
and

Least Common Multiple of 62 and 88

LCM of 62 and 88 is 2728

Least common multiple can be found by multiplying the highest exponent prime factors of 62 and 88. First we will calculate the prime factors of 62 and 88.

Prime Factorization of 62


2 62
31 31
1

Prime factors of 62 are 2,31. Prime factorization of 62 in exponential form is:

62 = 21×311

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 62 and 88.

LCM(62,88) = 23×111×311
LCM(62,88) = 2728

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1, 2, 31, 62

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 62 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 62 and 88, than apply into the LCM equation.

GCF(62,88) = 2
LCM(62,88) = ( 62 × 88) / 2
LCM(62,88) = 5456 / 2
LCM(62,88) = 2728

Properties of LCM 62 and 88

(i) The LCM of 88 and 62 is associative

LCM of 62 and 88 = LCM of 88 and 62

Related Least Common Multiples of 62

Related Least Common Multiples of 88

Frequently Asked Questions on LCM of 62 and 88

1. What is the LCM of 62 and 88?

Answer: LCM of 62 and 88 is 2728.

2. What are the Factors of 62?

Answer: Factors of 62 are 1, 2, 31, 62. There are 4 integers that are factors of 62. The greatest factor of 62 is 62.

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 62 and 88?

Answer:

Least Common Multiple of 62 and 88 = 2728

Step 1: Find the prime factorization of 62

62 = 2 x 31

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 = 2728 = 2 x 2 x 2 x 11 x 31

Step 4: Therefore, the least common multiple of 62 and 88 is 2728.