Least Common Multiple of 7739 and 7740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7739 and 7740 the smallest integer that is 59899860 that is divisible by both numbers.

Least Common Multiple (LCM) of 7739 and 7740 is 59899860.

LCM(7739,7740) = 59899860

LCM of 7739 and 7740

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

LCM of:
and

Least Common Multiple of 7739 and 7740

LCM of 7739 and 7740 is 59899860

Least common multiple can be found by multiplying the highest exponent prime factors of 7739 and 7740. First we will calculate the prime factors of 7739 and 7740.

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

Prime Factorization of 7740


2 7740
2 3870
3 1935
3 645
5 215
43 43
1

Prime factors of 7740 are 2, 3, 5,43. Prime factorization of 7740 in exponential form is:

7740 = 22×32×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 7739 and 7740.

LCM(7739,7740) = 22×32×51×431×711×1091
LCM(7739,7740) = 59899860

Factors of 7739

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

1, 71, 109, 7739

Factors of 7740

List of positive integer factors of 7740 that divides 7740 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 43, 45, 60, 86, 90, 129, 172, 180, 215, 258, 387, 430, 516, 645, 774, 860, 1290, 1548, 1935, 2580, 3870, 7740

Least Common Multiple of 7739 and 7740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7739 and 7740, than apply into the LCM equation.

GCF(7739,7740) = 1
LCM(7739,7740) = ( 7739 × 7740) / 1
LCM(7739,7740) = 59899860 / 1
LCM(7739,7740) = 59899860

Properties of LCM 7739 and 7740

(i) The LCM of 7740 and 7739 is associative

LCM of 7739 and 7740 = LCM of 7740 and 7739

Related Least Common Multiples of 7739

Related Least Common Multiples of 7740

Frequently Asked Questions on LCM of 7739 and 7740

1. What is the LCM of 7739 and 7740?

Answer: LCM of 7739 and 7740 is 59899860.

2. 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.

3. What are the Factors of 7740?

Answer: Factors of 7740 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 43, 45, 60, 86, 90, 129, 172, 180, 215, 258, 387, 430, 516, 645, 774, 860, 1290, 1548, 1935, 2580, 3870, 7740. There are 36 integers that are factors of 7740. The greatest factor of 7740 is 7740.

4. How to Find the LCM of 7739 and 7740?

Answer:

Least Common Multiple of 7739 and 7740 = 59899860

Step 1: Find the prime factorization of 7739

7739 = 71 x 109

Step 2: Find the prime factorization of 7740

7740 = 2 x 2 x 3 x 3 x 5 x 43

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

LCM = 59899860 = 2 x 2 x 3 x 3 x 5 x 43 x 71 x 109

Step 4: Therefore, the least common multiple of 7739 and 7740 is 59899860.