Least Common Multiple of 56820 and 56828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 56820 and 56828 the smallest integer that is 807241740 that is divisible by both numbers.

Least Common Multiple (LCM) of 56820 and 56828 is 807241740.

LCM(56820,56828) = 807241740

LCM of 56820 and 56828

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

LCM of:
and

Least Common Multiple of 56820 and 56828

LCM of 56820 and 56828 is 807241740

Least common multiple can be found by multiplying the highest exponent prime factors of 56820 and 56828. First we will calculate the prime factors of 56820 and 56828.

Prime Factorization of 56820


2 56820
2 28410
3 14205
5 4735
947 947
1

Prime factors of 56820 are 2, 3, 5,947. Prime factorization of 56820 in exponential form is:

56820 = 22×31×51×9471

Prime Factorization of 56828


2 56828
2 28414
14207 14207
1

Prime factors of 56828 are 2,14207. Prime factorization of 56828 in exponential form is:

56828 = 22×142071

Now multiplying the highest exponent prime factors to calculate the LCM of 56820 and 56828.

LCM(56820,56828) = 22×31×51×9471×142071
LCM(56820,56828) = 807241740

Factors of 56820

List of positive integer factors of 56820 that divides 56820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 947, 1894, 2841, 3788, 4735, 5682, 9470, 11364, 14205, 18940, 28410, 56820

Factors of 56828

List of positive integer factors of 56828 that divides 56828 without a remainder.

1, 2, 4, 14207, 28414, 56828

Least Common Multiple of 56820 and 56828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56820 and 56828, than apply into the LCM equation.

GCF(56820,56828) = 4
LCM(56820,56828) = ( 56820 × 56828) / 4
LCM(56820,56828) = 3228966960 / 4
LCM(56820,56828) = 807241740

Properties of LCM 56820 and 56828

(i) The LCM of 56828 and 56820 is associative

LCM of 56820 and 56828 = LCM of 56828 and 56820

Related Least Common Multiples of 56820

Related Least Common Multiples of 56828

Frequently Asked Questions on LCM of 56820 and 56828

1. What is the LCM of 56820 and 56828?

Answer: LCM of 56820 and 56828 is 807241740.

2. What are the Factors of 56820?

Answer: Factors of 56820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 947, 1894, 2841, 3788, 4735, 5682, 9470, 11364, 14205, 18940, 28410, 56820. There are 24 integers that are factors of 56820. The greatest factor of 56820 is 56820.

3. What are the Factors of 56828?

Answer: Factors of 56828 are 1, 2, 4, 14207, 28414, 56828. There are 6 integers that are factors of 56828. The greatest factor of 56828 is 56828.

4. How to Find the LCM of 56820 and 56828?

Answer:

Least Common Multiple of 56820 and 56828 = 807241740

Step 1: Find the prime factorization of 56820

56820 = 2 x 2 x 3 x 5 x 947

Step 2: Find the prime factorization of 56828

56828 = 2 x 2 x 14207

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

LCM = 807241740 = 2 x 2 x 3 x 5 x 947 x 14207

Step 4: Therefore, the least common multiple of 56820 and 56828 is 807241740.