Least Common Multiple of 1946 and 1954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1946 and 1954 the smallest integer that is 1901242 that is divisible by both numbers.

Least Common Multiple (LCM) of 1946 and 1954 is 1901242.

LCM(1946,1954) = 1901242

LCM of 1946 and 1954

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

LCM of:
and

Least Common Multiple of 1946 and 1954

LCM of 1946 and 1954 is 1901242

Least common multiple can be found by multiplying the highest exponent prime factors of 1946 and 1954. First we will calculate the prime factors of 1946 and 1954.

Prime Factorization of 1946


2 1946
7 973
139 139
1

Prime factors of 1946 are 2, 7,139. Prime factorization of 1946 in exponential form is:

1946 = 21×71×1391

Prime Factorization of 1954


2 1954
977 977
1

Prime factors of 1954 are 2,977. Prime factorization of 1954 in exponential form is:

1954 = 21×9771

Now multiplying the highest exponent prime factors to calculate the LCM of 1946 and 1954.

LCM(1946,1954) = 21×71×1391×9771
LCM(1946,1954) = 1901242

Factors of 1946

List of positive integer factors of 1946 that divides 1946 without a remainder.

1, 2, 7, 14, 139, 278, 973, 1946

Factors of 1954

List of positive integer factors of 1954 that divides 1954 without a remainder.

1, 2, 977, 1954

Least Common Multiple of 1946 and 1954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1946 and 1954, than apply into the LCM equation.

GCF(1946,1954) = 2
LCM(1946,1954) = ( 1946 × 1954) / 2
LCM(1946,1954) = 3802484 / 2
LCM(1946,1954) = 1901242

Properties of LCM 1946 and 1954

(i) The LCM of 1954 and 1946 is associative

LCM of 1946 and 1954 = LCM of 1954 and 1946

Related Least Common Multiples of 1946

Related Least Common Multiples of 1954

Frequently Asked Questions on LCM of 1946 and 1954

1. What is the LCM of 1946 and 1954?

Answer: LCM of 1946 and 1954 is 1901242.

2. What are the Factors of 1946?

Answer: Factors of 1946 are 1, 2, 7, 14, 139, 278, 973, 1946. There are 8 integers that are factors of 1946. The greatest factor of 1946 is 1946.

3. What are the Factors of 1954?

Answer: Factors of 1954 are 1, 2, 977, 1954. There are 4 integers that are factors of 1954. The greatest factor of 1954 is 1954.

4. How to Find the LCM of 1946 and 1954?

Answer:

Least Common Multiple of 1946 and 1954 = 1901242

Step 1: Find the prime factorization of 1946

1946 = 2 x 7 x 139

Step 2: Find the prime factorization of 1954

1954 = 2 x 977

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

LCM = 1901242 = 2 x 7 x 139 x 977

Step 4: Therefore, the least common multiple of 1946 and 1954 is 1901242.