Least Common Multiple of 1955 and 1960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1955 and 1960 the smallest integer that is 766360 that is divisible by both numbers.

Least Common Multiple (LCM) of 1955 and 1960 is 766360.

LCM(1955,1960) = 766360

LCM of 1955 and 1960

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

LCM of:
and

Least Common Multiple of 1955 and 1960

LCM of 1955 and 1960 is 766360

Least common multiple can be found by multiplying the highest exponent prime factors of 1955 and 1960. First we will calculate the prime factors of 1955 and 1960.

Prime Factorization of 1955


5 1955
17 391
23 23
1

Prime factors of 1955 are 5, 17,23. Prime factorization of 1955 in exponential form is:

1955 = 51×171×231

Prime Factorization of 1960


2 1960
2 980
2 490
5 245
7 49
7 7
1

Prime factors of 1960 are 2, 5,7. Prime factorization of 1960 in exponential form is:

1960 = 23×51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 1955 and 1960.

LCM(1955,1960) = 23×51×72×171×231
LCM(1955,1960) = 766360

Factors of 1955

List of positive integer factors of 1955 that divides 1955 without a remainder.

1, 5, 17, 23, 85, 115, 391, 1955

Factors of 1960

List of positive integer factors of 1960 that divides 1960 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 49, 56, 70, 98, 140, 196, 245, 280, 392, 490, 980, 1960

Least Common Multiple of 1955 and 1960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1955 and 1960, than apply into the LCM equation.

GCF(1955,1960) = 5
LCM(1955,1960) = ( 1955 × 1960) / 5
LCM(1955,1960) = 3831800 / 5
LCM(1955,1960) = 766360

Properties of LCM 1955 and 1960

(i) The LCM of 1960 and 1955 is associative

LCM of 1955 and 1960 = LCM of 1960 and 1955

Related Least Common Multiples of 1955

Related Least Common Multiples of 1960

Frequently Asked Questions on LCM of 1955 and 1960

1. What is the LCM of 1955 and 1960?

Answer: LCM of 1955 and 1960 is 766360.

2. What are the Factors of 1955?

Answer: Factors of 1955 are 1, 5, 17, 23, 85, 115, 391, 1955. There are 8 integers that are factors of 1955. The greatest factor of 1955 is 1955.

3. What are the Factors of 1960?

Answer: Factors of 1960 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 49, 56, 70, 98, 140, 196, 245, 280, 392, 490, 980, 1960. There are 24 integers that are factors of 1960. The greatest factor of 1960 is 1960.

4. How to Find the LCM of 1955 and 1960?

Answer:

Least Common Multiple of 1955 and 1960 = 766360

Step 1: Find the prime factorization of 1955

1955 = 5 x 17 x 23

Step 2: Find the prime factorization of 1960

1960 = 2 x 2 x 2 x 5 x 7 x 7

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

LCM = 766360 = 2 x 2 x 2 x 5 x 7 x 7 x 17 x 23

Step 4: Therefore, the least common multiple of 1955 and 1960 is 766360.