Least Common Multiple of 1602 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 1602 and 1607 the smallest integer that is 2574414 that is divisible by both numbers.

Least Common Multiple (LCM) of 1602 and 1607 is 2574414.

LCM(1602,1607) = 2574414

LCM of 1602 and 1607

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

LCM of:
and

Least Common Multiple of 1602 and 1607

LCM of 1602 and 1607 is 2574414

Least common multiple can be found by multiplying the highest exponent prime factors of 1602 and 1607. First we will calculate the prime factors of 1602 and 1607.

Prime Factorization of 1602


2 1602
3 801
3 267
89 89
1

Prime factors of 1602 are 2, 3,89. Prime factorization of 1602 in exponential form is:

1602 = 21×32×891

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 1602 and 1607.

LCM(1602,1607) = 21×32×891×16071
LCM(1602,1607) = 2574414

Factors of 1602

List of positive integer factors of 1602 that divides 1602 without a remainder.

1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602

Factors of 1607

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

1, 1607

Least Common Multiple of 1602 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 1602 and 1607, than apply into the LCM equation.

GCF(1602,1607) = 1
LCM(1602,1607) = ( 1602 × 1607) / 1
LCM(1602,1607) = 2574414 / 1
LCM(1602,1607) = 2574414

Properties of LCM 1602 and 1607

(i) The LCM of 1607 and 1602 is associative

LCM of 1602 and 1607 = LCM of 1607 and 1602

Related Least Common Multiples of 1602

Related Least Common Multiples of 1607

Frequently Asked Questions on LCM of 1602 and 1607

1. What is the LCM of 1602 and 1607?

Answer: LCM of 1602 and 1607 is 2574414.

2. What are the Factors of 1602?

Answer: Factors of 1602 are 1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602. There are 12 integers that are factors of 1602. The greatest factor of 1602 is 1602.

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 1602 and 1607?

Answer:

Least Common Multiple of 1602 and 1607 = 2574414

Step 1: Find the prime factorization of 1602

1602 = 2 x 3 x 3 x 89

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 = 2574414 = 2 x 3 x 3 x 89 x 1607

Step 4: Therefore, the least common multiple of 1602 and 1607 is 2574414.