Least Common Multiple of 1918 and 1919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1918 and 1919 the smallest integer that is 3680642 that is divisible by both numbers.

Least Common Multiple (LCM) of 1918 and 1919 is 3680642.

LCM(1918,1919) = 3680642

LCM of 1918 and 1919

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

LCM of:
and

Least Common Multiple of 1918 and 1919

LCM of 1918 and 1919 is 3680642

Least common multiple can be found by multiplying the highest exponent prime factors of 1918 and 1919. First we will calculate the prime factors of 1918 and 1919.

Prime Factorization of 1918


2 1918
7 959
137 137
1

Prime factors of 1918 are 2, 7,137. Prime factorization of 1918 in exponential form is:

1918 = 21×71×1371

Prime Factorization of 1919


19 1919
101 101
1

Prime factors of 1919 are 19,101. Prime factorization of 1919 in exponential form is:

1919 = 191×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 1918 and 1919.

LCM(1918,1919) = 21×71×191×1011×1371
LCM(1918,1919) = 3680642

Factors of 1918

List of positive integer factors of 1918 that divides 1918 without a remainder.

1, 2, 7, 14, 137, 274, 959, 1918

Factors of 1919

List of positive integer factors of 1919 that divides 1919 without a remainder.

1, 19, 101, 1919

Least Common Multiple of 1918 and 1919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1918 and 1919, than apply into the LCM equation.

GCF(1918,1919) = 1
LCM(1918,1919) = ( 1918 × 1919) / 1
LCM(1918,1919) = 3680642 / 1
LCM(1918,1919) = 3680642

Properties of LCM 1918 and 1919

(i) The LCM of 1919 and 1918 is associative

LCM of 1918 and 1919 = LCM of 1919 and 1918

Related Least Common Multiples of 1918

Related Least Common Multiples of 1919

Frequently Asked Questions on LCM of 1918 and 1919

1. What is the LCM of 1918 and 1919?

Answer: LCM of 1918 and 1919 is 3680642.

2. What are the Factors of 1918?

Answer: Factors of 1918 are 1, 2, 7, 14, 137, 274, 959, 1918. There are 8 integers that are factors of 1918. The greatest factor of 1918 is 1918.

3. What are the Factors of 1919?

Answer: Factors of 1919 are 1, 19, 101, 1919. There are 4 integers that are factors of 1919. The greatest factor of 1919 is 1919.

4. How to Find the LCM of 1918 and 1919?

Answer:

Least Common Multiple of 1918 and 1919 = 3680642

Step 1: Find the prime factorization of 1918

1918 = 2 x 7 x 137

Step 2: Find the prime factorization of 1919

1919 = 19 x 101

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

LCM = 3680642 = 2 x 7 x 19 x 101 x 137

Step 4: Therefore, the least common multiple of 1918 and 1919 is 3680642.