Least Common Multiple of 1954 and 1957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1954 and 1957 the smallest integer that is 3823978 that is divisible by both numbers.

Least Common Multiple (LCM) of 1954 and 1957 is 3823978.

LCM(1954,1957) = 3823978

LCM of 1954 and 1957

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

LCM of:
and

Least Common Multiple of 1954 and 1957

LCM of 1954 and 1957 is 3823978

Least common multiple can be found by multiplying the highest exponent prime factors of 1954 and 1957. First we will calculate the prime factors of 1954 and 1957.

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

Prime Factorization of 1957


19 1957
103 103
1

Prime factors of 1957 are 19,103. Prime factorization of 1957 in exponential form is:

1957 = 191×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 1954 and 1957.

LCM(1954,1957) = 21×191×1031×9771
LCM(1954,1957) = 3823978

Factors of 1954

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

1, 2, 977, 1954

Factors of 1957

List of positive integer factors of 1957 that divides 1957 without a remainder.

1, 19, 103, 1957

Least Common Multiple of 1954 and 1957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1954 and 1957, than apply into the LCM equation.

GCF(1954,1957) = 1
LCM(1954,1957) = ( 1954 × 1957) / 1
LCM(1954,1957) = 3823978 / 1
LCM(1954,1957) = 3823978

Properties of LCM 1954 and 1957

(i) The LCM of 1957 and 1954 is associative

LCM of 1954 and 1957 = LCM of 1957 and 1954

Related Least Common Multiples of 1954

Related Least Common Multiples of 1957

Frequently Asked Questions on LCM of 1954 and 1957

1. What is the LCM of 1954 and 1957?

Answer: LCM of 1954 and 1957 is 3823978.

2. 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.

3. What are the Factors of 1957?

Answer: Factors of 1957 are 1, 19, 103, 1957. There are 4 integers that are factors of 1957. The greatest factor of 1957 is 1957.

4. How to Find the LCM of 1954 and 1957?

Answer:

Least Common Multiple of 1954 and 1957 = 3823978

Step 1: Find the prime factorization of 1954

1954 = 2 x 977

Step 2: Find the prime factorization of 1957

1957 = 19 x 103

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

LCM = 3823978 = 2 x 19 x 103 x 977

Step 4: Therefore, the least common multiple of 1954 and 1957 is 3823978.