Least Common Multiple of 7856 and 7860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7856 and 7860 the smallest integer that is 15437040 that is divisible by both numbers.

Least Common Multiple (LCM) of 7856 and 7860 is 15437040.

LCM(7856,7860) = 15437040

LCM of 7856 and 7860

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

LCM of:
and

Least Common Multiple of 7856 and 7860

LCM of 7856 and 7860 is 15437040

Least common multiple can be found by multiplying the highest exponent prime factors of 7856 and 7860. First we will calculate the prime factors of 7856 and 7860.

Prime Factorization of 7856


2 7856
2 3928
2 1964
2 982
491 491
1

Prime factors of 7856 are 2,491. Prime factorization of 7856 in exponential form is:

7856 = 24×4911

Prime Factorization of 7860


2 7860
2 3930
3 1965
5 655
131 131
1

Prime factors of 7860 are 2, 3, 5,131. Prime factorization of 7860 in exponential form is:

7860 = 22×31×51×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 7856 and 7860.

LCM(7856,7860) = 24×31×51×1311×4911
LCM(7856,7860) = 15437040

Factors of 7856

List of positive integer factors of 7856 that divides 7856 without a remainder.

1, 2, 4, 8, 16, 491, 982, 1964, 3928, 7856

Factors of 7860

List of positive integer factors of 7860 that divides 7860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 131, 262, 393, 524, 655, 786, 1310, 1572, 1965, 2620, 3930, 7860

Least Common Multiple of 7856 and 7860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7856 and 7860, than apply into the LCM equation.

GCF(7856,7860) = 4
LCM(7856,7860) = ( 7856 × 7860) / 4
LCM(7856,7860) = 61748160 / 4
LCM(7856,7860) = 15437040

Properties of LCM 7856 and 7860

(i) The LCM of 7860 and 7856 is associative

LCM of 7856 and 7860 = LCM of 7860 and 7856

Related Least Common Multiples of 7856

Related Least Common Multiples of 7860

Frequently Asked Questions on LCM of 7856 and 7860

1. What is the LCM of 7856 and 7860?

Answer: LCM of 7856 and 7860 is 15437040.

2. What are the Factors of 7856?

Answer: Factors of 7856 are 1, 2, 4, 8, 16, 491, 982, 1964, 3928, 7856. There are 10 integers that are factors of 7856. The greatest factor of 7856 is 7856.

3. What are the Factors of 7860?

Answer: Factors of 7860 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 131, 262, 393, 524, 655, 786, 1310, 1572, 1965, 2620, 3930, 7860. There are 24 integers that are factors of 7860. The greatest factor of 7860 is 7860.

4. How to Find the LCM of 7856 and 7860?

Answer:

Least Common Multiple of 7856 and 7860 = 15437040

Step 1: Find the prime factorization of 7856

7856 = 2 x 2 x 2 x 2 x 491

Step 2: Find the prime factorization of 7860

7860 = 2 x 2 x 3 x 5 x 131

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

LCM = 15437040 = 2 x 2 x 2 x 2 x 3 x 5 x 131 x 491

Step 4: Therefore, the least common multiple of 7856 and 7860 is 15437040.