Least Common Multiple of 120 and 121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 120 and 121 the smallest integer that is 14520 that is divisible by both numbers.

Least Common Multiple (LCM) of 120 and 121 is 14520.

LCM(120,121) = 14520

LCM of 120 and 121

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

LCM of:
and

Least Common Multiple of 120 and 121

LCM of 120 and 121 is 14520

Least common multiple can be found by multiplying the highest exponent prime factors of 120 and 121. First we will calculate the prime factors of 120 and 121.

Prime Factorization of 120


2 120
2 60
2 30
3 15
5 5
1

Prime factors of 120 are 2, 3,5. Prime factorization of 120 in exponential form is:

120 = 23×31×51

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

Now multiplying the highest exponent prime factors to calculate the LCM of 120 and 121.

LCM(120,121) = 23×31×51×112
LCM(120,121) = 14520

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Factors of 121

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

1, 11, 121

Least Common Multiple of 120 and 121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 120 and 121, than apply into the LCM equation.

GCF(120,121) = 1
LCM(120,121) = ( 120 × 121) / 1
LCM(120,121) = 14520 / 1
LCM(120,121) = 14520

Properties of LCM 120 and 121

(i) The LCM of 121 and 120 is associative

LCM of 120 and 121 = LCM of 121 and 120

Related Least Common Multiples of 120

Related Least Common Multiples of 121

Frequently Asked Questions on LCM of 120 and 121

1. What is the LCM of 120 and 121?

Answer: LCM of 120 and 121 is 14520.

2. What are the Factors of 120?

Answer: Factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. There are 16 integers that are factors of 120. The greatest factor of 120 is 120.

3. 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.

4. How to Find the LCM of 120 and 121?

Answer:

Least Common Multiple of 120 and 121 = 14520

Step 1: Find the prime factorization of 120

120 = 2 x 2 x 2 x 3 x 5

Step 2: Find the prime factorization of 121

121 = 11 x 11

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

LCM = 14520 = 2 x 2 x 2 x 3 x 5 x 11 x 11

Step 4: Therefore, the least common multiple of 120 and 121 is 14520.