Least Common Multiple of 1651 and 1656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1651 and 1656 the smallest integer that is 2734056 that is divisible by both numbers.

Least Common Multiple (LCM) of 1651 and 1656 is 2734056.

LCM(1651,1656) = 2734056

LCM of 1651 and 1656

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

LCM of:
and

Least Common Multiple of 1651 and 1656

LCM of 1651 and 1656 is 2734056

Least common multiple can be found by multiplying the highest exponent prime factors of 1651 and 1656. First we will calculate the prime factors of 1651 and 1656.

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

Prime Factorization of 1656


2 1656
2 828
2 414
3 207
3 69
23 23
1

Prime factors of 1656 are 2, 3,23. Prime factorization of 1656 in exponential form is:

1656 = 23×32×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1651 and 1656.

LCM(1651,1656) = 23×32×131×231×1271
LCM(1651,1656) = 2734056

Factors of 1651

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

1, 13, 127, 1651

Factors of 1656

List of positive integer factors of 1656 that divides 1656 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 69, 72, 92, 138, 184, 207, 276, 414, 552, 828, 1656

Least Common Multiple of 1651 and 1656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1651 and 1656, than apply into the LCM equation.

GCF(1651,1656) = 1
LCM(1651,1656) = ( 1651 × 1656) / 1
LCM(1651,1656) = 2734056 / 1
LCM(1651,1656) = 2734056

Properties of LCM 1651 and 1656

(i) The LCM of 1656 and 1651 is associative

LCM of 1651 and 1656 = LCM of 1656 and 1651

Related Least Common Multiples of 1651

Related Least Common Multiples of 1656

Frequently Asked Questions on LCM of 1651 and 1656

1. What is the LCM of 1651 and 1656?

Answer: LCM of 1651 and 1656 is 2734056.

2. 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.

3. What are the Factors of 1656?

Answer: Factors of 1656 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 69, 72, 92, 138, 184, 207, 276, 414, 552, 828, 1656. There are 24 integers that are factors of 1656. The greatest factor of 1656 is 1656.

4. How to Find the LCM of 1651 and 1656?

Answer:

Least Common Multiple of 1651 and 1656 = 2734056

Step 1: Find the prime factorization of 1651

1651 = 13 x 127

Step 2: Find the prime factorization of 1656

1656 = 2 x 2 x 2 x 3 x 3 x 23

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

LCM = 2734056 = 2 x 2 x 2 x 3 x 3 x 13 x 23 x 127

Step 4: Therefore, the least common multiple of 1651 and 1656 is 2734056.