Least Common Multiple of 1654 and 1660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1654 and 1660 the smallest integer that is 1372820 that is divisible by both numbers.

Least Common Multiple (LCM) of 1654 and 1660 is 1372820.

LCM(1654,1660) = 1372820

LCM of 1654 and 1660

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

LCM of:
and

Least Common Multiple of 1654 and 1660

LCM of 1654 and 1660 is 1372820

Least common multiple can be found by multiplying the highest exponent prime factors of 1654 and 1660. First we will calculate the prime factors of 1654 and 1660.

Prime Factorization of 1654


2 1654
827 827
1

Prime factors of 1654 are 2,827. Prime factorization of 1654 in exponential form is:

1654 = 21×8271

Prime Factorization of 1660


2 1660
2 830
5 415
83 83
1

Prime factors of 1660 are 2, 5,83. Prime factorization of 1660 in exponential form is:

1660 = 22×51×831

Now multiplying the highest exponent prime factors to calculate the LCM of 1654 and 1660.

LCM(1654,1660) = 22×51×831×8271
LCM(1654,1660) = 1372820

Factors of 1654

List of positive integer factors of 1654 that divides 1654 without a remainder.

1, 2, 827, 1654

Factors of 1660

List of positive integer factors of 1660 that divides 1660 without a remainder.

1, 2, 4, 5, 10, 20, 83, 166, 332, 415, 830, 1660

Least Common Multiple of 1654 and 1660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1654 and 1660, than apply into the LCM equation.

GCF(1654,1660) = 2
LCM(1654,1660) = ( 1654 × 1660) / 2
LCM(1654,1660) = 2745640 / 2
LCM(1654,1660) = 1372820

Properties of LCM 1654 and 1660

(i) The LCM of 1660 and 1654 is associative

LCM of 1654 and 1660 = LCM of 1660 and 1654

Related Least Common Multiples of 1654

Related Least Common Multiples of 1660

Frequently Asked Questions on LCM of 1654 and 1660

1. What is the LCM of 1654 and 1660?

Answer: LCM of 1654 and 1660 is 1372820.

2. What are the Factors of 1654?

Answer: Factors of 1654 are 1, 2, 827, 1654. There are 4 integers that are factors of 1654. The greatest factor of 1654 is 1654.

3. What are the Factors of 1660?

Answer: Factors of 1660 are 1, 2, 4, 5, 10, 20, 83, 166, 332, 415, 830, 1660. There are 12 integers that are factors of 1660. The greatest factor of 1660 is 1660.

4. How to Find the LCM of 1654 and 1660?

Answer:

Least Common Multiple of 1654 and 1660 = 1372820

Step 1: Find the prime factorization of 1654

1654 = 2 x 827

Step 2: Find the prime factorization of 1660

1660 = 2 x 2 x 5 x 83

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

LCM = 1372820 = 2 x 2 x 5 x 83 x 827

Step 4: Therefore, the least common multiple of 1654 and 1660 is 1372820.