Least Common Multiple of 1957 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 1957 and 1962 the smallest integer that is 3839634 that is divisible by both numbers.

Least Common Multiple (LCM) of 1957 and 1962 is 3839634.

LCM(1957,1962) = 3839634

LCM of 1957 and 1962

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

LCM of:
and

Least Common Multiple of 1957 and 1962

LCM of 1957 and 1962 is 3839634

Least common multiple can be found by multiplying the highest exponent prime factors of 1957 and 1962. First we will calculate the prime factors of 1957 and 1962.

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

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 1957 and 1962.

LCM(1957,1962) = 21×32×191×1031×1091
LCM(1957,1962) = 3839634

Factors of 1957

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

1, 19, 103, 1957

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 1957 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 1957 and 1962, than apply into the LCM equation.

GCF(1957,1962) = 1
LCM(1957,1962) = ( 1957 × 1962) / 1
LCM(1957,1962) = 3839634 / 1
LCM(1957,1962) = 3839634

Properties of LCM 1957 and 1962

(i) The LCM of 1962 and 1957 is associative

LCM of 1957 and 1962 = LCM of 1962 and 1957

Related Least Common Multiples of 1957

Related Least Common Multiples of 1962

Frequently Asked Questions on LCM of 1957 and 1962

1. What is the LCM of 1957 and 1962?

Answer: LCM of 1957 and 1962 is 3839634.

2. 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.

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 1957 and 1962?

Answer:

Least Common Multiple of 1957 and 1962 = 3839634

Step 1: Find the prime factorization of 1957

1957 = 19 x 103

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 = 3839634 = 2 x 3 x 3 x 19 x 103 x 109

Step 4: Therefore, the least common multiple of 1957 and 1962 is 3839634.