Least Common Multiple of 1958 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 1958 and 1960 the smallest integer that is 1918840 that is divisible by both numbers.

Least Common Multiple (LCM) of 1958 and 1960 is 1918840.

LCM(1958,1960) = 1918840

LCM of 1958 and 1960

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

LCM of:
and

Least Common Multiple of 1958 and 1960

LCM of 1958 and 1960 is 1918840

Least common multiple can be found by multiplying the highest exponent prime factors of 1958 and 1960. First we will calculate the prime factors of 1958 and 1960.

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 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 1958 and 1960.

LCM(1958,1960) = 23×51×72×111×891
LCM(1958,1960) = 1918840

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 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 1958 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 1958 and 1960, than apply into the LCM equation.

GCF(1958,1960) = 2
LCM(1958,1960) = ( 1958 × 1960) / 2
LCM(1958,1960) = 3837680 / 2
LCM(1958,1960) = 1918840

Properties of LCM 1958 and 1960

(i) The LCM of 1960 and 1958 is associative

LCM of 1958 and 1960 = LCM of 1960 and 1958

Related Least Common Multiples of 1958

Related Least Common Multiples of 1960

Frequently Asked Questions on LCM of 1958 and 1960

1. What is the LCM of 1958 and 1960?

Answer: LCM of 1958 and 1960 is 1918840.

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 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 1958 and 1960?

Answer:

Least Common Multiple of 1958 and 1960 = 1918840

Step 1: Find the prime factorization of 1958

1958 = 2 x 11 x 89

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 = 1918840 = 2 x 2 x 2 x 5 x 7 x 7 x 11 x 89

Step 4: Therefore, the least common multiple of 1958 and 1960 is 1918840.