Least Common Multiple of 87734 and 87740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 87734 and 87740 the smallest integer that is 3848890580 that is divisible by both numbers.

Least Common Multiple (LCM) of 87734 and 87740 is 3848890580.

LCM(87734,87740) = 3848890580

LCM of 87734 and 87740

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

LCM of:
and

Least Common Multiple of 87734 and 87740

LCM of 87734 and 87740 is 3848890580

Least common multiple can be found by multiplying the highest exponent prime factors of 87734 and 87740. First we will calculate the prime factors of 87734 and 87740.

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

Prime Factorization of 87740


2 87740
2 43870
5 21935
41 4387
107 107
1

Prime factors of 87740 are 2, 5, 41,107. Prime factorization of 87740 in exponential form is:

87740 = 22×51×411×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 87734 and 87740.

LCM(87734,87740) = 22×51×411×1071×438671
LCM(87734,87740) = 3848890580

Factors of 87734

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

1, 2, 43867, 87734

Factors of 87740

List of positive integer factors of 87740 that divides 87740 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 107, 164, 205, 214, 410, 428, 535, 820, 1070, 2140, 4387, 8774, 17548, 21935, 43870, 87740

Least Common Multiple of 87734 and 87740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87734 and 87740, than apply into the LCM equation.

GCF(87734,87740) = 2
LCM(87734,87740) = ( 87734 × 87740) / 2
LCM(87734,87740) = 7697781160 / 2
LCM(87734,87740) = 3848890580

Properties of LCM 87734 and 87740

(i) The LCM of 87740 and 87734 is associative

LCM of 87734 and 87740 = LCM of 87740 and 87734

Related Least Common Multiples of 87734

Related Least Common Multiples of 87740

Frequently Asked Questions on LCM of 87734 and 87740

1. What is the LCM of 87734 and 87740?

Answer: LCM of 87734 and 87740 is 3848890580.

2. 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.

3. What are the Factors of 87740?

Answer: Factors of 87740 are 1, 2, 4, 5, 10, 20, 41, 82, 107, 164, 205, 214, 410, 428, 535, 820, 1070, 2140, 4387, 8774, 17548, 21935, 43870, 87740. There are 24 integers that are factors of 87740. The greatest factor of 87740 is 87740.

4. How to Find the LCM of 87734 and 87740?

Answer:

Least Common Multiple of 87734 and 87740 = 3848890580

Step 1: Find the prime factorization of 87734

87734 = 2 x 43867

Step 2: Find the prime factorization of 87740

87740 = 2 x 2 x 5 x 41 x 107

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

LCM = 3848890580 = 2 x 2 x 5 x 41 x 107 x 43867

Step 4: Therefore, the least common multiple of 87734 and 87740 is 3848890580.