Least Common Multiple of 7600 and 7607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7600 and 7607 the smallest integer that is 57813200 that is divisible by both numbers.

Least Common Multiple (LCM) of 7600 and 7607 is 57813200.

LCM(7600,7607) = 57813200

LCM of 7600 and 7607

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

LCM of:
and

Least Common Multiple of 7600 and 7607

LCM of 7600 and 7607 is 57813200

Least common multiple can be found by multiplying the highest exponent prime factors of 7600 and 7607. First we will calculate the prime factors of 7600 and 7607.

Prime Factorization of 7600


2 7600
2 3800
2 1900
2 950
5 475
5 95
19 19
1

Prime factors of 7600 are 2, 5,19. Prime factorization of 7600 in exponential form is:

7600 = 24×52×191

Prime Factorization of 7607


7607 7607
1

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

7607 = 76071

Now multiplying the highest exponent prime factors to calculate the LCM of 7600 and 7607.

LCM(7600,7607) = 24×52×191×76071
LCM(7600,7607) = 57813200

Factors of 7600

List of positive integer factors of 7600 that divides 7600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 380, 400, 475, 760, 950, 1520, 1900, 3800, 7600

Factors of 7607

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

1, 7607

Least Common Multiple of 7600 and 7607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7600 and 7607, than apply into the LCM equation.

GCF(7600,7607) = 1
LCM(7600,7607) = ( 7600 × 7607) / 1
LCM(7600,7607) = 57813200 / 1
LCM(7600,7607) = 57813200

Properties of LCM 7600 and 7607

(i) The LCM of 7607 and 7600 is associative

LCM of 7600 and 7607 = LCM of 7607 and 7600

Related Least Common Multiples of 7600

Related Least Common Multiples of 7607

Frequently Asked Questions on LCM of 7600 and 7607

1. What is the LCM of 7600 and 7607?

Answer: LCM of 7600 and 7607 is 57813200.

2. What are the Factors of 7600?

Answer: Factors of 7600 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 380, 400, 475, 760, 950, 1520, 1900, 3800, 7600. There are 30 integers that are factors of 7600. The greatest factor of 7600 is 7600.

3. 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.

4. How to Find the LCM of 7600 and 7607?

Answer:

Least Common Multiple of 7600 and 7607 = 57813200

Step 1: Find the prime factorization of 7600

7600 = 2 x 2 x 2 x 2 x 5 x 5 x 19

Step 2: Find the prime factorization of 7607

7607 = 7607

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

LCM = 57813200 = 2 x 2 x 2 x 2 x 5 x 5 x 19 x 7607

Step 4: Therefore, the least common multiple of 7600 and 7607 is 57813200.