Least Common Multiple of 7734 and 7739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7734 and 7739 the smallest integer that is 59853426 that is divisible by both numbers.

Least Common Multiple (LCM) of 7734 and 7739 is 59853426.

LCM(7734,7739) = 59853426

LCM of 7734 and 7739

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

LCM of:
and

Least Common Multiple of 7734 and 7739

LCM of 7734 and 7739 is 59853426

Least common multiple can be found by multiplying the highest exponent prime factors of 7734 and 7739. First we will calculate the prime factors of 7734 and 7739.

Prime Factorization of 7734


2 7734
3 3867
1289 1289
1

Prime factors of 7734 are 2, 3,1289. Prime factorization of 7734 in exponential form is:

7734 = 21×31×12891

Prime Factorization of 7739


71 7739
109 109
1

Prime factors of 7739 are 71,109. Prime factorization of 7739 in exponential form is:

7739 = 711×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 7734 and 7739.

LCM(7734,7739) = 21×31×711×1091×12891
LCM(7734,7739) = 59853426

Factors of 7734

List of positive integer factors of 7734 that divides 7734 without a remainder.

1, 2, 3, 6, 1289, 2578, 3867, 7734

Factors of 7739

List of positive integer factors of 7739 that divides 7739 without a remainder.

1, 71, 109, 7739

Least Common Multiple of 7734 and 7739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7734 and 7739, than apply into the LCM equation.

GCF(7734,7739) = 1
LCM(7734,7739) = ( 7734 × 7739) / 1
LCM(7734,7739) = 59853426 / 1
LCM(7734,7739) = 59853426

Properties of LCM 7734 and 7739

(i) The LCM of 7739 and 7734 is associative

LCM of 7734 and 7739 = LCM of 7739 and 7734

Related Least Common Multiples of 7734

Related Least Common Multiples of 7739

Frequently Asked Questions on LCM of 7734 and 7739

1. What is the LCM of 7734 and 7739?

Answer: LCM of 7734 and 7739 is 59853426.

2. What are the Factors of 7734?

Answer: Factors of 7734 are 1, 2, 3, 6, 1289, 2578, 3867, 7734. There are 8 integers that are factors of 7734. The greatest factor of 7734 is 7734.

3. What are the Factors of 7739?

Answer: Factors of 7739 are 1, 71, 109, 7739. There are 4 integers that are factors of 7739. The greatest factor of 7739 is 7739.

4. How to Find the LCM of 7734 and 7739?

Answer:

Least Common Multiple of 7734 and 7739 = 59853426

Step 1: Find the prime factorization of 7734

7734 = 2 x 3 x 1289

Step 2: Find the prime factorization of 7739

7739 = 71 x 109

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

LCM = 59853426 = 2 x 3 x 71 x 109 x 1289

Step 4: Therefore, the least common multiple of 7734 and 7739 is 59853426.