Least Common Multiple of 1600 and 1607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1600 and 1607 the smallest integer that is 2571200 that is divisible by both numbers.

Least Common Multiple (LCM) of 1600 and 1607 is 2571200.

LCM(1600,1607) = 2571200

LCM of 1600 and 1607

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

LCM of:
and

Least Common Multiple of 1600 and 1607

LCM of 1600 and 1607 is 2571200

Least common multiple can be found by multiplying the highest exponent prime factors of 1600 and 1607. First we will calculate the prime factors of 1600 and 1607.

Prime Factorization of 1600


2 1600
2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 1600 are 2,5. Prime factorization of 1600 in exponential form is:

1600 = 26×52

Prime Factorization of 1607


1607 1607
1

Prime factors of 1607 are 1607. Prime factorization of 1607 in exponential form is:

1607 = 16071

Now multiplying the highest exponent prime factors to calculate the LCM of 1600 and 1607.

LCM(1600,1607) = 26×52×16071
LCM(1600,1607) = 2571200

Factors of 1600

List of positive integer factors of 1600 that divides 1600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800, 1600

Factors of 1607

List of positive integer factors of 1607 that divides 1607 without a remainder.

1, 1607

Least Common Multiple of 1600 and 1607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1600 and 1607, than apply into the LCM equation.

GCF(1600,1607) = 1
LCM(1600,1607) = ( 1600 × 1607) / 1
LCM(1600,1607) = 2571200 / 1
LCM(1600,1607) = 2571200

Properties of LCM 1600 and 1607

(i) The LCM of 1607 and 1600 is associative

LCM of 1600 and 1607 = LCM of 1607 and 1600

Related Least Common Multiples of 1600

Related Least Common Multiples of 1607

Frequently Asked Questions on LCM of 1600 and 1607

1. What is the LCM of 1600 and 1607?

Answer: LCM of 1600 and 1607 is 2571200.

2. What are the Factors of 1600?

Answer: Factors of 1600 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800, 1600. There are 21 integers that are factors of 1600. The greatest factor of 1600 is 1600.

3. What are the Factors of 1607?

Answer: Factors of 1607 are 1, 1607. There are 2 integers that are factors of 1607. The greatest factor of 1607 is 1607.

4. How to Find the LCM of 1600 and 1607?

Answer:

Least Common Multiple of 1600 and 1607 = 2571200

Step 1: Find the prime factorization of 1600

1600 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5

Step 2: Find the prime factorization of 1607

1607 = 1607

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

LCM = 2571200 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 1607

Step 4: Therefore, the least common multiple of 1600 and 1607 is 2571200.