Least Common Multiple of 1960 and 1964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1960 and 1964 the smallest integer that is 962360 that is divisible by both numbers.

Least Common Multiple (LCM) of 1960 and 1964 is 962360.

LCM(1960,1964) = 962360

LCM of 1960 and 1964

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

LCM of:
and

Least Common Multiple of 1960 and 1964

LCM of 1960 and 1964 is 962360

Least common multiple can be found by multiplying the highest exponent prime factors of 1960 and 1964. First we will calculate the prime factors of 1960 and 1964.

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

Prime Factorization of 1964


2 1964
2 982
491 491
1

Prime factors of 1964 are 2,491. Prime factorization of 1964 in exponential form is:

1964 = 22×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 1960 and 1964.

LCM(1960,1964) = 23×51×72×4911
LCM(1960,1964) = 962360

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

Factors of 1964

List of positive integer factors of 1964 that divides 1964 without a remainder.

1, 2, 4, 491, 982, 1964

Least Common Multiple of 1960 and 1964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1960 and 1964, than apply into the LCM equation.

GCF(1960,1964) = 4
LCM(1960,1964) = ( 1960 × 1964) / 4
LCM(1960,1964) = 3849440 / 4
LCM(1960,1964) = 962360

Properties of LCM 1960 and 1964

(i) The LCM of 1964 and 1960 is associative

LCM of 1960 and 1964 = LCM of 1964 and 1960

Related Least Common Multiples of 1960

Related Least Common Multiples of 1964

Frequently Asked Questions on LCM of 1960 and 1964

1. What is the LCM of 1960 and 1964?

Answer: LCM of 1960 and 1964 is 962360.

2. 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.

3. What are the Factors of 1964?

Answer: Factors of 1964 are 1, 2, 4, 491, 982, 1964. There are 6 integers that are factors of 1964. The greatest factor of 1964 is 1964.

4. How to Find the LCM of 1960 and 1964?

Answer:

Least Common Multiple of 1960 and 1964 = 962360

Step 1: Find the prime factorization of 1960

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

Step 2: Find the prime factorization of 1964

1964 = 2 x 2 x 491

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

LCM = 962360 = 2 x 2 x 2 x 5 x 7 x 7 x 491

Step 4: Therefore, the least common multiple of 1960 and 1964 is 962360.