Least Common Multiple of 1958 and 1962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1958 and 1962 the smallest integer that is 1920798 that is divisible by both numbers.

Least Common Multiple (LCM) of 1958 and 1962 is 1920798.

LCM(1958,1962) = 1920798

LCM of 1958 and 1962

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

LCM of:
and

Least Common Multiple of 1958 and 1962

LCM of 1958 and 1962 is 1920798

Least common multiple can be found by multiplying the highest exponent prime factors of 1958 and 1962. First we will calculate the prime factors of 1958 and 1962.

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

Prime Factorization of 1962


2 1962
3 981
3 327
109 109
1

Prime factors of 1962 are 2, 3,109. Prime factorization of 1962 in exponential form is:

1962 = 21×32×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 1958 and 1962.

LCM(1958,1962) = 21×32×111×891×1091
LCM(1958,1962) = 1920798

Factors of 1958

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

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

Factors of 1962

List of positive integer factors of 1962 that divides 1962 without a remainder.

1, 2, 3, 6, 9, 18, 109, 218, 327, 654, 981, 1962

Least Common Multiple of 1958 and 1962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1958 and 1962, than apply into the LCM equation.

GCF(1958,1962) = 2
LCM(1958,1962) = ( 1958 × 1962) / 2
LCM(1958,1962) = 3841596 / 2
LCM(1958,1962) = 1920798

Properties of LCM 1958 and 1962

(i) The LCM of 1962 and 1958 is associative

LCM of 1958 and 1962 = LCM of 1962 and 1958

Related Least Common Multiples of 1958

Related Least Common Multiples of 1962

Frequently Asked Questions on LCM of 1958 and 1962

1. What is the LCM of 1958 and 1962?

Answer: LCM of 1958 and 1962 is 1920798.

2. 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.

3. What are the Factors of 1962?

Answer: Factors of 1962 are 1, 2, 3, 6, 9, 18, 109, 218, 327, 654, 981, 1962. There are 12 integers that are factors of 1962. The greatest factor of 1962 is 1962.

4. How to Find the LCM of 1958 and 1962?

Answer:

Least Common Multiple of 1958 and 1962 = 1920798

Step 1: Find the prime factorization of 1958

1958 = 2 x 11 x 89

Step 2: Find the prime factorization of 1962

1962 = 2 x 3 x 3 x 109

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

LCM = 1920798 = 2 x 3 x 3 x 11 x 89 x 109

Step 4: Therefore, the least common multiple of 1958 and 1962 is 1920798.