Least Common Multiple of 1551 and 1556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1551 and 1556 the smallest integer that is 2413356 that is divisible by both numbers.

Least Common Multiple (LCM) of 1551 and 1556 is 2413356.

LCM(1551,1556) = 2413356

LCM of 1551 and 1556

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

LCM of:
and

Least Common Multiple of 1551 and 1556

LCM of 1551 and 1556 is 2413356

Least common multiple can be found by multiplying the highest exponent prime factors of 1551 and 1556. First we will calculate the prime factors of 1551 and 1556.

Prime Factorization of 1551


3 1551
11 517
47 47
1

Prime factors of 1551 are 3, 11,47. Prime factorization of 1551 in exponential form is:

1551 = 31×111×471

Prime Factorization of 1556


2 1556
2 778
389 389
1

Prime factors of 1556 are 2,389. Prime factorization of 1556 in exponential form is:

1556 = 22×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 1551 and 1556.

LCM(1551,1556) = 22×31×111×471×3891
LCM(1551,1556) = 2413356

Factors of 1551

List of positive integer factors of 1551 that divides 1551 without a remainder.

1, 3, 11, 33, 47, 141, 517, 1551

Factors of 1556

List of positive integer factors of 1556 that divides 1556 without a remainder.

1, 2, 4, 389, 778, 1556

Least Common Multiple of 1551 and 1556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1551 and 1556, than apply into the LCM equation.

GCF(1551,1556) = 1
LCM(1551,1556) = ( 1551 × 1556) / 1
LCM(1551,1556) = 2413356 / 1
LCM(1551,1556) = 2413356

Properties of LCM 1551 and 1556

(i) The LCM of 1556 and 1551 is associative

LCM of 1551 and 1556 = LCM of 1556 and 1551

Related Least Common Multiples of 1551

Related Least Common Multiples of 1556

Frequently Asked Questions on LCM of 1551 and 1556

1. What is the LCM of 1551 and 1556?

Answer: LCM of 1551 and 1556 is 2413356.

2. What are the Factors of 1551?

Answer: Factors of 1551 are 1, 3, 11, 33, 47, 141, 517, 1551. There are 8 integers that are factors of 1551. The greatest factor of 1551 is 1551.

3. What are the Factors of 1556?

Answer: Factors of 1556 are 1, 2, 4, 389, 778, 1556. There are 6 integers that are factors of 1556. The greatest factor of 1556 is 1556.

4. How to Find the LCM of 1551 and 1556?

Answer:

Least Common Multiple of 1551 and 1556 = 2413356

Step 1: Find the prime factorization of 1551

1551 = 3 x 11 x 47

Step 2: Find the prime factorization of 1556

1556 = 2 x 2 x 389

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

LCM = 2413356 = 2 x 2 x 3 x 11 x 47 x 389

Step 4: Therefore, the least common multiple of 1551 and 1556 is 2413356.