Least Common Multiple of 1953 and 1958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1953 and 1958 the smallest integer that is 3823974 that is divisible by both numbers.

Least Common Multiple (LCM) of 1953 and 1958 is 3823974.

LCM(1953,1958) = 3823974

LCM of 1953 and 1958

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

LCM of:
and

Least Common Multiple of 1953 and 1958

LCM of 1953 and 1958 is 3823974

Least common multiple can be found by multiplying the highest exponent prime factors of 1953 and 1958. First we will calculate the prime factors of 1953 and 1958.

Prime Factorization of 1953


3 1953
3 651
7 217
31 31
1

Prime factors of 1953 are 3, 7,31. Prime factorization of 1953 in exponential form is:

1953 = 32×71×311

Prime Factorization of 1958


2 1958
11 979
89 89
1

Prime factors of 1958 are 2, 11,89. Prime factorization of 1958 in exponential form is:

1958 = 21×111×891

Now multiplying the highest exponent prime factors to calculate the LCM of 1953 and 1958.

LCM(1953,1958) = 21×32×71×111×311×891
LCM(1953,1958) = 3823974

Factors of 1953

List of positive integer factors of 1953 that divides 1953 without a remainder.

1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651, 1953

Factors of 1958

List of positive integer factors of 1958 that divides 1958 without a remainder.

1, 2, 11, 22, 89, 178, 979, 1958

Least Common Multiple of 1953 and 1958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1953 and 1958, than apply into the LCM equation.

GCF(1953,1958) = 1
LCM(1953,1958) = ( 1953 × 1958) / 1
LCM(1953,1958) = 3823974 / 1
LCM(1953,1958) = 3823974

Properties of LCM 1953 and 1958

(i) The LCM of 1958 and 1953 is associative

LCM of 1953 and 1958 = LCM of 1958 and 1953

Related Least Common Multiples of 1953

Related Least Common Multiples of 1958

Frequently Asked Questions on LCM of 1953 and 1958

1. What is the LCM of 1953 and 1958?

Answer: LCM of 1953 and 1958 is 3823974.

2. What are the Factors of 1953?

Answer: Factors of 1953 are 1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651, 1953. There are 12 integers that are factors of 1953. The greatest factor of 1953 is 1953.

3. What are the Factors of 1958?

Answer: Factors of 1958 are 1, 2, 11, 22, 89, 178, 979, 1958. There are 8 integers that are factors of 1958. The greatest factor of 1958 is 1958.

4. How to Find the LCM of 1953 and 1958?

Answer:

Least Common Multiple of 1953 and 1958 = 3823974

Step 1: Find the prime factorization of 1953

1953 = 3 x 3 x 7 x 31

Step 2: Find the prime factorization of 1958

1958 = 2 x 11 x 89

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

LCM = 3823974 = 2 x 3 x 3 x 7 x 11 x 31 x 89

Step 4: Therefore, the least common multiple of 1953 and 1958 is 3823974.