Least Common Multiple of 9604 and 9607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9604 and 9607 the smallest integer that is 92265628 that is divisible by both numbers.

Least Common Multiple (LCM) of 9604 and 9607 is 92265628.

LCM(9604,9607) = 92265628

LCM of 9604 and 9607

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

LCM of:
and

Least Common Multiple of 9604 and 9607

LCM of 9604 and 9607 is 92265628

Least common multiple can be found by multiplying the highest exponent prime factors of 9604 and 9607. First we will calculate the prime factors of 9604 and 9607.

Prime Factorization of 9604


2 9604
2 4802
7 2401
7 343
7 49
7 7
1

Prime factors of 9604 are 2,7. Prime factorization of 9604 in exponential form is:

9604 = 22×74

Prime Factorization of 9607


13 9607
739 739
1

Prime factors of 9607 are 13,739. Prime factorization of 9607 in exponential form is:

9607 = 131×7391

Now multiplying the highest exponent prime factors to calculate the LCM of 9604 and 9607.

LCM(9604,9607) = 22×74×131×7391
LCM(9604,9607) = 92265628

Factors of 9604

List of positive integer factors of 9604 that divides 9604 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604

Factors of 9607

List of positive integer factors of 9607 that divides 9607 without a remainder.

1, 13, 739, 9607

Least Common Multiple of 9604 and 9607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9604 and 9607, than apply into the LCM equation.

GCF(9604,9607) = 1
LCM(9604,9607) = ( 9604 × 9607) / 1
LCM(9604,9607) = 92265628 / 1
LCM(9604,9607) = 92265628

Properties of LCM 9604 and 9607

(i) The LCM of 9607 and 9604 is associative

LCM of 9604 and 9607 = LCM of 9607 and 9604

Related Least Common Multiples of 9604

Related Least Common Multiples of 9607

Frequently Asked Questions on LCM of 9604 and 9607

1. What is the LCM of 9604 and 9607?

Answer: LCM of 9604 and 9607 is 92265628.

2. What are the Factors of 9604?

Answer: Factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604. There are 15 integers that are factors of 9604. The greatest factor of 9604 is 9604.

3. What are the Factors of 9607?

Answer: Factors of 9607 are 1, 13, 739, 9607. There are 4 integers that are factors of 9607. The greatest factor of 9607 is 9607.

4. How to Find the LCM of 9604 and 9607?

Answer:

Least Common Multiple of 9604 and 9607 = 92265628

Step 1: Find the prime factorization of 9604

9604 = 2 x 2 x 7 x 7 x 7 x 7

Step 2: Find the prime factorization of 9607

9607 = 13 x 739

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

LCM = 92265628 = 2 x 2 x 7 x 7 x 7 x 7 x 13 x 739

Step 4: Therefore, the least common multiple of 9604 and 9607 is 92265628.