Least Common Multiple of 7615 and 7620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7615 and 7620 the smallest integer that is 11605260 that is divisible by both numbers.

Least Common Multiple (LCM) of 7615 and 7620 is 11605260.

LCM(7615,7620) = 11605260

LCM of 7615 and 7620

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

LCM of:
and

Least Common Multiple of 7615 and 7620

LCM of 7615 and 7620 is 11605260

Least common multiple can be found by multiplying the highest exponent prime factors of 7615 and 7620. First we will calculate the prime factors of 7615 and 7620.

Prime Factorization of 7615


5 7615
1523 1523
1

Prime factors of 7615 are 5,1523. Prime factorization of 7615 in exponential form is:

7615 = 51×15231

Prime Factorization of 7620


2 7620
2 3810
3 1905
5 635
127 127
1

Prime factors of 7620 are 2, 3, 5,127. Prime factorization of 7620 in exponential form is:

7620 = 22×31×51×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 7615 and 7620.

LCM(7615,7620) = 22×31×51×1271×15231
LCM(7615,7620) = 11605260

Factors of 7615

List of positive integer factors of 7615 that divides 7615 without a remainder.

1, 5, 1523, 7615

Factors of 7620

List of positive integer factors of 7620 that divides 7620 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 127, 254, 381, 508, 635, 762, 1270, 1524, 1905, 2540, 3810, 7620

Least Common Multiple of 7615 and 7620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7615 and 7620, than apply into the LCM equation.

GCF(7615,7620) = 5
LCM(7615,7620) = ( 7615 × 7620) / 5
LCM(7615,7620) = 58026300 / 5
LCM(7615,7620) = 11605260

Properties of LCM 7615 and 7620

(i) The LCM of 7620 and 7615 is associative

LCM of 7615 and 7620 = LCM of 7620 and 7615

Related Least Common Multiples of 7615

Related Least Common Multiples of 7620

Frequently Asked Questions on LCM of 7615 and 7620

1. What is the LCM of 7615 and 7620?

Answer: LCM of 7615 and 7620 is 11605260.

2. What are the Factors of 7615?

Answer: Factors of 7615 are 1, 5, 1523, 7615. There are 4 integers that are factors of 7615. The greatest factor of 7615 is 7615.

3. What are the Factors of 7620?

Answer: Factors of 7620 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 127, 254, 381, 508, 635, 762, 1270, 1524, 1905, 2540, 3810, 7620. There are 24 integers that are factors of 7620. The greatest factor of 7620 is 7620.

4. How to Find the LCM of 7615 and 7620?

Answer:

Least Common Multiple of 7615 and 7620 = 11605260

Step 1: Find the prime factorization of 7615

7615 = 5 x 1523

Step 2: Find the prime factorization of 7620

7620 = 2 x 2 x 3 x 5 x 127

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

LCM = 11605260 = 2 x 2 x 3 x 5 x 127 x 1523

Step 4: Therefore, the least common multiple of 7615 and 7620 is 11605260.