Least Common Multiple of 1962 and 1969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1962 and 1969 the smallest integer that is 3863178 that is divisible by both numbers.

Least Common Multiple (LCM) of 1962 and 1969 is 3863178.

LCM(1962,1969) = 3863178

LCM of 1962 and 1969

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

LCM of:
and

Least Common Multiple of 1962 and 1969

LCM of 1962 and 1969 is 3863178

Least common multiple can be found by multiplying the highest exponent prime factors of 1962 and 1969. First we will calculate the prime factors of 1962 and 1969.

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

Prime Factorization of 1969


11 1969
179 179
1

Prime factors of 1969 are 11,179. Prime factorization of 1969 in exponential form is:

1969 = 111×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 1962 and 1969.

LCM(1962,1969) = 21×32×111×1091×1791
LCM(1962,1969) = 3863178

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

Factors of 1969

List of positive integer factors of 1969 that divides 1969 without a remainder.

1, 11, 179, 1969

Least Common Multiple of 1962 and 1969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1962 and 1969, than apply into the LCM equation.

GCF(1962,1969) = 1
LCM(1962,1969) = ( 1962 × 1969) / 1
LCM(1962,1969) = 3863178 / 1
LCM(1962,1969) = 3863178

Properties of LCM 1962 and 1969

(i) The LCM of 1969 and 1962 is associative

LCM of 1962 and 1969 = LCM of 1969 and 1962

Related Least Common Multiples of 1962

Related Least Common Multiples of 1969

Frequently Asked Questions on LCM of 1962 and 1969

1. What is the LCM of 1962 and 1969?

Answer: LCM of 1962 and 1969 is 3863178.

2. 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.

3. What are the Factors of 1969?

Answer: Factors of 1969 are 1, 11, 179, 1969. There are 4 integers that are factors of 1969. The greatest factor of 1969 is 1969.

4. How to Find the LCM of 1962 and 1969?

Answer:

Least Common Multiple of 1962 and 1969 = 3863178

Step 1: Find the prime factorization of 1962

1962 = 2 x 3 x 3 x 109

Step 2: Find the prime factorization of 1969

1969 = 11 x 179

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

LCM = 3863178 = 2 x 3 x 3 x 11 x 109 x 179

Step 4: Therefore, the least common multiple of 1962 and 1969 is 3863178.