Least Common Multiple of 1962 and 1967

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 1967 the smallest integer that is 3859254 that is divisible by both numbers.

Least Common Multiple (LCM) of 1962 and 1967 is 3859254.

LCM(1962,1967) = 3859254

LCM of 1962 and 1967

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

LCM of:
and

Least Common Multiple of 1962 and 1967

LCM of 1962 and 1967 is 3859254

Least common multiple can be found by multiplying the highest exponent prime factors of 1962 and 1967. First we will calculate the prime factors of 1962 and 1967.

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 1967


7 1967
281 281
1

Prime factors of 1967 are 7,281. Prime factorization of 1967 in exponential form is:

1967 = 71×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 1962 and 1967.

LCM(1962,1967) = 21×32×71×1091×2811
LCM(1962,1967) = 3859254

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 1967

List of positive integer factors of 1967 that divides 1967 without a remainder.

1, 7, 281, 1967

Least Common Multiple of 1962 and 1967 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 1967, than apply into the LCM equation.

GCF(1962,1967) = 1
LCM(1962,1967) = ( 1962 × 1967) / 1
LCM(1962,1967) = 3859254 / 1
LCM(1962,1967) = 3859254

Properties of LCM 1962 and 1967

(i) The LCM of 1967 and 1962 is associative

LCM of 1962 and 1967 = LCM of 1967 and 1962

Related Least Common Multiples of 1962

Related Least Common Multiples of 1967

Frequently Asked Questions on LCM of 1962 and 1967

1. What is the LCM of 1962 and 1967?

Answer: LCM of 1962 and 1967 is 3859254.

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 1967?

Answer: Factors of 1967 are 1, 7, 281, 1967. There are 4 integers that are factors of 1967. The greatest factor of 1967 is 1967.

4. How to Find the LCM of 1962 and 1967?

Answer:

Least Common Multiple of 1962 and 1967 = 3859254

Step 1: Find the prime factorization of 1962

1962 = 2 x 3 x 3 x 109

Step 2: Find the prime factorization of 1967

1967 = 7 x 281

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

LCM = 3859254 = 2 x 3 x 3 x 7 x 109 x 281

Step 4: Therefore, the least common multiple of 1962 and 1967 is 3859254.