Least Common Multiple of 121 and 122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 121 and 122 the smallest integer that is 14762 that is divisible by both numbers.

Least Common Multiple (LCM) of 121 and 122 is 14762.

LCM(121,122) = 14762

LCM of 121 and 122

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

LCM of:
and

Least Common Multiple of 121 and 122

LCM of 121 and 122 is 14762

Least common multiple can be found by multiplying the highest exponent prime factors of 121 and 122. First we will calculate the prime factors of 121 and 122.

Prime Factorization of 121


11 121
11 11
1

Prime factors of 121 are 11. Prime factorization of 121 in exponential form is:

121 = 112

Prime Factorization of 122


2 122
61 61
1

Prime factors of 122 are 2,61. Prime factorization of 122 in exponential form is:

122 = 21×611

Now multiplying the highest exponent prime factors to calculate the LCM of 121 and 122.

LCM(121,122) = 21×112×611
LCM(121,122) = 14762

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1, 11, 121

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Least Common Multiple of 121 and 122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 121 and 122, than apply into the LCM equation.

GCF(121,122) = 1
LCM(121,122) = ( 121 × 122) / 1
LCM(121,122) = 14762 / 1
LCM(121,122) = 14762

Properties of LCM 121 and 122

(i) The LCM of 122 and 121 is associative

LCM of 121 and 122 = LCM of 122 and 121

Related Least Common Multiples of 121

Related Least Common Multiples of 122

Frequently Asked Questions on LCM of 121 and 122

1. What is the LCM of 121 and 122?

Answer: LCM of 121 and 122 is 14762.

2. What are the Factors of 121?

Answer: Factors of 121 are 1, 11, 121. There are 3 integers that are factors of 121. The greatest factor of 121 is 121.

3. What are the Factors of 122?

Answer: Factors of 122 are 1, 2, 61, 122. There are 4 integers that are factors of 122. The greatest factor of 122 is 122.

4. How to Find the LCM of 121 and 122?

Answer:

Least Common Multiple of 121 and 122 = 14762

Step 1: Find the prime factorization of 121

121 = 11 x 11

Step 2: Find the prime factorization of 122

122 = 2 x 61

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

LCM = 14762 = 2 x 11 x 11 x 61

Step 4: Therefore, the least common multiple of 121 and 122 is 14762.