Least Common Multiple of 1872 and 1877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1872 and 1877 the smallest integer that is 3513744 that is divisible by both numbers.

Least Common Multiple (LCM) of 1872 and 1877 is 3513744.

LCM(1872,1877) = 3513744

LCM of 1872 and 1877

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

LCM of:
and

Least Common Multiple of 1872 and 1877

LCM of 1872 and 1877 is 3513744

Least common multiple can be found by multiplying the highest exponent prime factors of 1872 and 1877. First we will calculate the prime factors of 1872 and 1877.

Prime Factorization of 1872


2 1872
2 936
2 468
2 234
3 117
3 39
13 13
1

Prime factors of 1872 are 2, 3,13. Prime factorization of 1872 in exponential form is:

1872 = 24×32×131

Prime Factorization of 1877


1877 1877
1

Prime factors of 1877 are 1877. Prime factorization of 1877 in exponential form is:

1877 = 18771

Now multiplying the highest exponent prime factors to calculate the LCM of 1872 and 1877.

LCM(1872,1877) = 24×32×131×18771
LCM(1872,1877) = 3513744

Factors of 1872

List of positive integer factors of 1872 that divides 1872 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872

Factors of 1877

List of positive integer factors of 1877 that divides 1877 without a remainder.

1, 1877

Least Common Multiple of 1872 and 1877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1872 and 1877, than apply into the LCM equation.

GCF(1872,1877) = 1
LCM(1872,1877) = ( 1872 × 1877) / 1
LCM(1872,1877) = 3513744 / 1
LCM(1872,1877) = 3513744

Properties of LCM 1872 and 1877

(i) The LCM of 1877 and 1872 is associative

LCM of 1872 and 1877 = LCM of 1877 and 1872

Related Least Common Multiples of 1872

Related Least Common Multiples of 1877

Frequently Asked Questions on LCM of 1872 and 1877

1. What is the LCM of 1872 and 1877?

Answer: LCM of 1872 and 1877 is 3513744.

2. What are the Factors of 1872?

Answer: Factors of 1872 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872. There are 30 integers that are factors of 1872. The greatest factor of 1872 is 1872.

3. What are the Factors of 1877?

Answer: Factors of 1877 are 1, 1877. There are 2 integers that are factors of 1877. The greatest factor of 1877 is 1877.

4. How to Find the LCM of 1872 and 1877?

Answer:

Least Common Multiple of 1872 and 1877 = 3513744

Step 1: Find the prime factorization of 1872

1872 = 2 x 2 x 2 x 2 x 3 x 3 x 13

Step 2: Find the prime factorization of 1877

1877 = 1877

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

LCM = 3513744 = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 1877

Step 4: Therefore, the least common multiple of 1872 and 1877 is 3513744.