Least Common Multiple of 1605 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 1605 and 1607 the smallest integer that is 2579235 that is divisible by both numbers.

Least Common Multiple (LCM) of 1605 and 1607 is 2579235.

LCM(1605,1607) = 2579235

LCM of 1605 and 1607

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

LCM of:
and

Least Common Multiple of 1605 and 1607

LCM of 1605 and 1607 is 2579235

Least common multiple can be found by multiplying the highest exponent prime factors of 1605 and 1607. First we will calculate the prime factors of 1605 and 1607.

Prime Factorization of 1605


3 1605
5 535
107 107
1

Prime factors of 1605 are 3, 5,107. Prime factorization of 1605 in exponential form is:

1605 = 31×51×1071

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 1605 and 1607.

LCM(1605,1607) = 31×51×1071×16071
LCM(1605,1607) = 2579235

Factors of 1605

List of positive integer factors of 1605 that divides 1605 without a remainder.

1, 3, 5, 15, 107, 321, 535, 1605

Factors of 1607

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

1, 1607

Least Common Multiple of 1605 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 1605 and 1607, than apply into the LCM equation.

GCF(1605,1607) = 1
LCM(1605,1607) = ( 1605 × 1607) / 1
LCM(1605,1607) = 2579235 / 1
LCM(1605,1607) = 2579235

Properties of LCM 1605 and 1607

(i) The LCM of 1607 and 1605 is associative

LCM of 1605 and 1607 = LCM of 1607 and 1605

Related Least Common Multiples of 1605

Related Least Common Multiples of 1607

Frequently Asked Questions on LCM of 1605 and 1607

1. What is the LCM of 1605 and 1607?

Answer: LCM of 1605 and 1607 is 2579235.

2. What are the Factors of 1605?

Answer: Factors of 1605 are 1, 3, 5, 15, 107, 321, 535, 1605. There are 8 integers that are factors of 1605. The greatest factor of 1605 is 1605.

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 1605 and 1607?

Answer:

Least Common Multiple of 1605 and 1607 = 2579235

Step 1: Find the prime factorization of 1605

1605 = 3 x 5 x 107

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 = 2579235 = 3 x 5 x 107 x 1607

Step 4: Therefore, the least common multiple of 1605 and 1607 is 2579235.