Least Common Multiple of 87729 and 87734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 87729 and 87734 the smallest integer that is 7696816086 that is divisible by both numbers.

Least Common Multiple (LCM) of 87729 and 87734 is 7696816086.

LCM(87729,87734) = 7696816086

LCM of 87729 and 87734

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

LCM of:
and

Least Common Multiple of 87729 and 87734

LCM of 87729 and 87734 is 7696816086

Least common multiple can be found by multiplying the highest exponent prime factors of 87729 and 87734. First we will calculate the prime factors of 87729 and 87734.

Prime Factorization of 87729


3 87729
29243 29243
1

Prime factors of 87729 are 3,29243. Prime factorization of 87729 in exponential form is:

87729 = 31×292431

Prime Factorization of 87734


2 87734
43867 43867
1

Prime factors of 87734 are 2,43867. Prime factorization of 87734 in exponential form is:

87734 = 21×438671

Now multiplying the highest exponent prime factors to calculate the LCM of 87729 and 87734.

LCM(87729,87734) = 21×31×292431×438671
LCM(87729,87734) = 7696816086

Factors of 87729

List of positive integer factors of 87729 that divides 87729 without a remainder.

1, 3, 29243, 87729

Factors of 87734

List of positive integer factors of 87734 that divides 87734 without a remainder.

1, 2, 43867, 87734

Least Common Multiple of 87729 and 87734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87729 and 87734, than apply into the LCM equation.

GCF(87729,87734) = 1
LCM(87729,87734) = ( 87729 × 87734) / 1
LCM(87729,87734) = 7696816086 / 1
LCM(87729,87734) = 7696816086

Properties of LCM 87729 and 87734

(i) The LCM of 87734 and 87729 is associative

LCM of 87729 and 87734 = LCM of 87734 and 87729

Related Least Common Multiples of 87729

Related Least Common Multiples of 87734

Frequently Asked Questions on LCM of 87729 and 87734

1. What is the LCM of 87729 and 87734?

Answer: LCM of 87729 and 87734 is 7696816086.

2. What are the Factors of 87729?

Answer: Factors of 87729 are 1, 3, 29243, 87729. There are 4 integers that are factors of 87729. The greatest factor of 87729 is 87729.

3. What are the Factors of 87734?

Answer: Factors of 87734 are 1, 2, 43867, 87734. There are 4 integers that are factors of 87734. The greatest factor of 87734 is 87734.

4. How to Find the LCM of 87729 and 87734?

Answer:

Least Common Multiple of 87729 and 87734 = 7696816086

Step 1: Find the prime factorization of 87729

87729 = 3 x 29243

Step 2: Find the prime factorization of 87734

87734 = 2 x 43867

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

LCM = 7696816086 = 2 x 3 x 29243 x 43867

Step 4: Therefore, the least common multiple of 87729 and 87734 is 7696816086.