Least Common Multiple of 7607 and 7615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7607 and 7615 the smallest integer that is 57927305 that is divisible by both numbers.

Least Common Multiple (LCM) of 7607 and 7615 is 57927305.

LCM(7607,7615) = 57927305

LCM of 7607 and 7615

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

LCM of:
and

Least Common Multiple of 7607 and 7615

LCM of 7607 and 7615 is 57927305

Least common multiple can be found by multiplying the highest exponent prime factors of 7607 and 7615. First we will calculate the prime factors of 7607 and 7615.

Prime Factorization of 7607


7607 7607
1

Prime factors of 7607 are 7607. Prime factorization of 7607 in exponential form is:

7607 = 76071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7607 and 7615.

LCM(7607,7615) = 51×15231×76071
LCM(7607,7615) = 57927305

Factors of 7607

List of positive integer factors of 7607 that divides 7607 without a remainder.

1, 7607

Factors of 7615

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

1, 5, 1523, 7615

Least Common Multiple of 7607 and 7615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7607 and 7615, than apply into the LCM equation.

GCF(7607,7615) = 1
LCM(7607,7615) = ( 7607 × 7615) / 1
LCM(7607,7615) = 57927305 / 1
LCM(7607,7615) = 57927305

Properties of LCM 7607 and 7615

(i) The LCM of 7615 and 7607 is associative

LCM of 7607 and 7615 = LCM of 7615 and 7607

Related Least Common Multiples of 7607

Related Least Common Multiples of 7615

Frequently Asked Questions on LCM of 7607 and 7615

1. What is the LCM of 7607 and 7615?

Answer: LCM of 7607 and 7615 is 57927305.

2. What are the Factors of 7607?

Answer: Factors of 7607 are 1, 7607. There are 2 integers that are factors of 7607. The greatest factor of 7607 is 7607.

3. 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.

4. How to Find the LCM of 7607 and 7615?

Answer:

Least Common Multiple of 7607 and 7615 = 57927305

Step 1: Find the prime factorization of 7607

7607 = 7607

Step 2: Find the prime factorization of 7615

7615 = 5 x 1523

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

LCM = 57927305 = 5 x 1523 x 7607

Step 4: Therefore, the least common multiple of 7607 and 7615 is 57927305.