Least Common Multiple of 1867 and 1874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1867 and 1874 the smallest integer that is 3498758 that is divisible by both numbers.

Least Common Multiple (LCM) of 1867 and 1874 is 3498758.

LCM(1867,1874) = 3498758

LCM of 1867 and 1874

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

LCM of:
and

Least Common Multiple of 1867 and 1874

LCM of 1867 and 1874 is 3498758

Least common multiple can be found by multiplying the highest exponent prime factors of 1867 and 1874. First we will calculate the prime factors of 1867 and 1874.

Prime Factorization of 1867


1867 1867
1

Prime factors of 1867 are 1867. Prime factorization of 1867 in exponential form is:

1867 = 18671

Prime Factorization of 1874


2 1874
937 937
1

Prime factors of 1874 are 2,937. Prime factorization of 1874 in exponential form is:

1874 = 21×9371

Now multiplying the highest exponent prime factors to calculate the LCM of 1867 and 1874.

LCM(1867,1874) = 21×9371×18671
LCM(1867,1874) = 3498758

Factors of 1867

List of positive integer factors of 1867 that divides 1867 without a remainder.

1, 1867

Factors of 1874

List of positive integer factors of 1874 that divides 1874 without a remainder.

1, 2, 937, 1874

Least Common Multiple of 1867 and 1874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1867 and 1874, than apply into the LCM equation.

GCF(1867,1874) = 1
LCM(1867,1874) = ( 1867 × 1874) / 1
LCM(1867,1874) = 3498758 / 1
LCM(1867,1874) = 3498758

Properties of LCM 1867 and 1874

(i) The LCM of 1874 and 1867 is associative

LCM of 1867 and 1874 = LCM of 1874 and 1867

Related Least Common Multiples of 1867

Related Least Common Multiples of 1874

Frequently Asked Questions on LCM of 1867 and 1874

1. What is the LCM of 1867 and 1874?

Answer: LCM of 1867 and 1874 is 3498758.

2. What are the Factors of 1867?

Answer: Factors of 1867 are 1, 1867. There are 2 integers that are factors of 1867. The greatest factor of 1867 is 1867.

3. What are the Factors of 1874?

Answer: Factors of 1874 are 1, 2, 937, 1874. There are 4 integers that are factors of 1874. The greatest factor of 1874 is 1874.

4. How to Find the LCM of 1867 and 1874?

Answer:

Least Common Multiple of 1867 and 1874 = 3498758

Step 1: Find the prime factorization of 1867

1867 = 1867

Step 2: Find the prime factorization of 1874

1874 = 2 x 937

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

LCM = 3498758 = 2 x 937 x 1867

Step 4: Therefore, the least common multiple of 1867 and 1874 is 3498758.