Least Common Multiple of 1645 and 1651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1645 and 1651 the smallest integer that is 2715895 that is divisible by both numbers.

Least Common Multiple (LCM) of 1645 and 1651 is 2715895.

LCM(1645,1651) = 2715895

LCM of 1645 and 1651

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

LCM of:
and

Least Common Multiple of 1645 and 1651

LCM of 1645 and 1651 is 2715895

Least common multiple can be found by multiplying the highest exponent prime factors of 1645 and 1651. First we will calculate the prime factors of 1645 and 1651.

Prime Factorization of 1645


5 1645
7 329
47 47
1

Prime factors of 1645 are 5, 7,47. Prime factorization of 1645 in exponential form is:

1645 = 51×71×471

Prime Factorization of 1651


13 1651
127 127
1

Prime factors of 1651 are 13,127. Prime factorization of 1651 in exponential form is:

1651 = 131×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 1645 and 1651.

LCM(1645,1651) = 51×71×131×471×1271
LCM(1645,1651) = 2715895

Factors of 1645

List of positive integer factors of 1645 that divides 1645 without a remainder.

1, 5, 7, 35, 47, 235, 329, 1645

Factors of 1651

List of positive integer factors of 1651 that divides 1651 without a remainder.

1, 13, 127, 1651

Least Common Multiple of 1645 and 1651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1645 and 1651, than apply into the LCM equation.

GCF(1645,1651) = 1
LCM(1645,1651) = ( 1645 × 1651) / 1
LCM(1645,1651) = 2715895 / 1
LCM(1645,1651) = 2715895

Properties of LCM 1645 and 1651

(i) The LCM of 1651 and 1645 is associative

LCM of 1645 and 1651 = LCM of 1651 and 1645

Related Least Common Multiples of 1645

Related Least Common Multiples of 1651

Frequently Asked Questions on LCM of 1645 and 1651

1. What is the LCM of 1645 and 1651?

Answer: LCM of 1645 and 1651 is 2715895.

2. What are the Factors of 1645?

Answer: Factors of 1645 are 1, 5, 7, 35, 47, 235, 329, 1645. There are 8 integers that are factors of 1645. The greatest factor of 1645 is 1645.

3. What are the Factors of 1651?

Answer: Factors of 1651 are 1, 13, 127, 1651. There are 4 integers that are factors of 1651. The greatest factor of 1651 is 1651.

4. How to Find the LCM of 1645 and 1651?

Answer:

Least Common Multiple of 1645 and 1651 = 2715895

Step 1: Find the prime factorization of 1645

1645 = 5 x 7 x 47

Step 2: Find the prime factorization of 1651

1651 = 13 x 127

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

LCM = 2715895 = 5 x 7 x 13 x 47 x 127

Step 4: Therefore, the least common multiple of 1645 and 1651 is 2715895.