Least Common Multiple of 121 and 124

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 124 the smallest integer that is 15004 that is divisible by both numbers.

Least Common Multiple (LCM) of 121 and 124 is 15004.

LCM(121,124) = 15004

LCM of 121 and 124

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

LCM of:
and

Least Common Multiple of 121 and 124

LCM of 121 and 124 is 15004

Least common multiple can be found by multiplying the highest exponent prime factors of 121 and 124. First we will calculate the prime factors of 121 and 124.

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 124


2 124
2 62
31 31
1

Prime factors of 124 are 2,31. Prime factorization of 124 in exponential form is:

124 = 22×311

Now multiplying the highest exponent prime factors to calculate the LCM of 121 and 124.

LCM(121,124) = 22×112×311
LCM(121,124) = 15004

Factors of 121

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

1, 11, 121

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Least Common Multiple of 121 and 124 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 124, than apply into the LCM equation.

GCF(121,124) = 1
LCM(121,124) = ( 121 × 124) / 1
LCM(121,124) = 15004 / 1
LCM(121,124) = 15004

Properties of LCM 121 and 124

(i) The LCM of 124 and 121 is associative

LCM of 121 and 124 = LCM of 124 and 121

Related Least Common Multiples of 121

Related Least Common Multiples of 124

Frequently Asked Questions on LCM of 121 and 124

1. What is the LCM of 121 and 124?

Answer: LCM of 121 and 124 is 15004.

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 124?

Answer: Factors of 124 are 1, 2, 4, 31, 62, 124. There are 6 integers that are factors of 124. The greatest factor of 124 is 124.

4. How to Find the LCM of 121 and 124?

Answer:

Least Common Multiple of 121 and 124 = 15004

Step 1: Find the prime factorization of 121

121 = 11 x 11

Step 2: Find the prime factorization of 124

124 = 2 x 2 x 31

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

LCM = 15004 = 2 x 2 x 11 x 11 x 31

Step 4: Therefore, the least common multiple of 121 and 124 is 15004.