Least Common Multiple of 68785 and 68792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 68785 and 68792 the smallest integer that is 4731857720 that is divisible by both numbers.

Least Common Multiple (LCM) of 68785 and 68792 is 4731857720.

LCM(68785,68792) = 4731857720

LCM of 68785 and 68792

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

LCM of:
and

Least Common Multiple of 68785 and 68792

LCM of 68785 and 68792 is 4731857720

Least common multiple can be found by multiplying the highest exponent prime factors of 68785 and 68792. First we will calculate the prime factors of 68785 and 68792.

Prime Factorization of 68785


5 68785
13757 13757
1

Prime factors of 68785 are 5,13757. Prime factorization of 68785 in exponential form is:

68785 = 51×137571

Prime Factorization of 68792


2 68792
2 34396
2 17198
8599 8599
1

Prime factors of 68792 are 2,8599. Prime factorization of 68792 in exponential form is:

68792 = 23×85991

Now multiplying the highest exponent prime factors to calculate the LCM of 68785 and 68792.

LCM(68785,68792) = 23×51×85991×137571
LCM(68785,68792) = 4731857720

Factors of 68785

List of positive integer factors of 68785 that divides 68785 without a remainder.

1, 5, 13757, 68785

Factors of 68792

List of positive integer factors of 68792 that divides 68792 without a remainder.

1, 2, 4, 8, 8599, 17198, 34396, 68792

Least Common Multiple of 68785 and 68792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68785 and 68792, than apply into the LCM equation.

GCF(68785,68792) = 1
LCM(68785,68792) = ( 68785 × 68792) / 1
LCM(68785,68792) = 4731857720 / 1
LCM(68785,68792) = 4731857720

Properties of LCM 68785 and 68792

(i) The LCM of 68792 and 68785 is associative

LCM of 68785 and 68792 = LCM of 68792 and 68785

Related Least Common Multiples of 68785

Related Least Common Multiples of 68792

Frequently Asked Questions on LCM of 68785 and 68792

1. What is the LCM of 68785 and 68792?

Answer: LCM of 68785 and 68792 is 4731857720.

2. What are the Factors of 68785?

Answer: Factors of 68785 are 1, 5, 13757, 68785. There are 4 integers that are factors of 68785. The greatest factor of 68785 is 68785.

3. What are the Factors of 68792?

Answer: Factors of 68792 are 1, 2, 4, 8, 8599, 17198, 34396, 68792. There are 8 integers that are factors of 68792. The greatest factor of 68792 is 68792.

4. How to Find the LCM of 68785 and 68792?

Answer:

Least Common Multiple of 68785 and 68792 = 4731857720

Step 1: Find the prime factorization of 68785

68785 = 5 x 13757

Step 2: Find the prime factorization of 68792

68792 = 2 x 2 x 2 x 8599

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

LCM = 4731857720 = 2 x 2 x 2 x 5 x 8599 x 13757

Step 4: Therefore, the least common multiple of 68785 and 68792 is 4731857720.