Least Common Multiple of 1604 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 1604 and 1607 the smallest integer that is 2577628 that is divisible by both numbers.

Least Common Multiple (LCM) of 1604 and 1607 is 2577628.

LCM(1604,1607) = 2577628

LCM of 1604 and 1607

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

LCM of:
and

Least Common Multiple of 1604 and 1607

LCM of 1604 and 1607 is 2577628

Least common multiple can be found by multiplying the highest exponent prime factors of 1604 and 1607. First we will calculate the prime factors of 1604 and 1607.

Prime Factorization of 1604


2 1604
2 802
401 401
1

Prime factors of 1604 are 2,401. Prime factorization of 1604 in exponential form is:

1604 = 22×4011

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 1604 and 1607.

LCM(1604,1607) = 22×4011×16071
LCM(1604,1607) = 2577628

Factors of 1604

List of positive integer factors of 1604 that divides 1604 without a remainder.

1, 2, 4, 401, 802, 1604

Factors of 1607

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

1, 1607

Least Common Multiple of 1604 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 1604 and 1607, than apply into the LCM equation.

GCF(1604,1607) = 1
LCM(1604,1607) = ( 1604 × 1607) / 1
LCM(1604,1607) = 2577628 / 1
LCM(1604,1607) = 2577628

Properties of LCM 1604 and 1607

(i) The LCM of 1607 and 1604 is associative

LCM of 1604 and 1607 = LCM of 1607 and 1604

Related Least Common Multiples of 1604

Related Least Common Multiples of 1607

Frequently Asked Questions on LCM of 1604 and 1607

1. What is the LCM of 1604 and 1607?

Answer: LCM of 1604 and 1607 is 2577628.

2. What are the Factors of 1604?

Answer: Factors of 1604 are 1, 2, 4, 401, 802, 1604. There are 6 integers that are factors of 1604. The greatest factor of 1604 is 1604.

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 1604 and 1607?

Answer:

Least Common Multiple of 1604 and 1607 = 2577628

Step 1: Find the prime factorization of 1604

1604 = 2 x 2 x 401

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 = 2577628 = 2 x 2 x 401 x 1607

Step 4: Therefore, the least common multiple of 1604 and 1607 is 2577628.