Least Common Multiple of 56 and 62

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 56 and 62 the smallest integer that is 1736 that is divisible by both numbers.

Least Common Multiple (LCM) of 56 and 62 is 1736.

LCM(56,62) = 1736

LCM of 56 and 62

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

LCM of:
and

Least Common Multiple of 56 and 62

LCM of 56 and 62 is 1736

Least common multiple can be found by multiplying the highest exponent prime factors of 56 and 62. First we will calculate the prime factors of 56 and 62.

Prime Factorization of 56


2 56
2 28
2 14
7 7
1

Prime factors of 56 are 2,7. Prime factorization of 56 in exponential form is:

56 = 23×71

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

Now multiplying the highest exponent prime factors to calculate the LCM of 56 and 62.

LCM(56,62) = 23×71×311
LCM(56,62) = 1736

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Factors of 62

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

1, 2, 31, 62

Least Common Multiple of 56 and 62 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56 and 62, than apply into the LCM equation.

GCF(56,62) = 2
LCM(56,62) = ( 56 × 62) / 2
LCM(56,62) = 3472 / 2
LCM(56,62) = 1736

Properties of LCM 56 and 62

(i) The LCM of 62 and 56 is associative

LCM of 56 and 62 = LCM of 62 and 56

Related Least Common Multiples of 56

Related Least Common Multiples of 62

Frequently Asked Questions on LCM of 56 and 62

1. What is the LCM of 56 and 62?

Answer: LCM of 56 and 62 is 1736.

2. What are the Factors of 56?

Answer: Factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56. There are 8 integers that are factors of 56. The greatest factor of 56 is 56.

3. 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.

4. How to Find the LCM of 56 and 62?

Answer:

Least Common Multiple of 56 and 62 = 1736

Step 1: Find the prime factorization of 56

56 = 2 x 2 x 2 x 7

Step 2: Find the prime factorization of 62

62 = 2 x 31

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

LCM = 1736 = 2 x 2 x 2 x 7 x 31

Step 4: Therefore, the least common multiple of 56 and 62 is 1736.