Least Common Multiple of 122 and 127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 122 and 127 the smallest integer that is 15494 that is divisible by both numbers.

Least Common Multiple (LCM) of 122 and 127 is 15494.

LCM(122,127) = 15494

LCM of 122 and 127

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

LCM of:
and

Least Common Multiple of 122 and 127

LCM of 122 and 127 is 15494

Least common multiple can be found by multiplying the highest exponent prime factors of 122 and 127. First we will calculate the prime factors of 122 and 127.

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

Prime Factorization of 127


127 127
1

Prime factors of 127 are 127. Prime factorization of 127 in exponential form is:

127 = 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 122 and 127.

LCM(122,127) = 21×611×1271
LCM(122,127) = 15494

Factors of 122

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

1, 2, 61, 122

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1, 127

Least Common Multiple of 122 and 127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 122 and 127, than apply into the LCM equation.

GCF(122,127) = 1
LCM(122,127) = ( 122 × 127) / 1
LCM(122,127) = 15494 / 1
LCM(122,127) = 15494

Properties of LCM 122 and 127

(i) The LCM of 127 and 122 is associative

LCM of 122 and 127 = LCM of 127 and 122

Related Least Common Multiples of 122

Related Least Common Multiples of 127

Frequently Asked Questions on LCM of 122 and 127

1. What is the LCM of 122 and 127?

Answer: LCM of 122 and 127 is 15494.

2. 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.

3. What are the Factors of 127?

Answer: Factors of 127 are 1, 127. There are 2 integers that are factors of 127. The greatest factor of 127 is 127.

4. How to Find the LCM of 122 and 127?

Answer:

Least Common Multiple of 122 and 127 = 15494

Step 1: Find the prime factorization of 122

122 = 2 x 61

Step 2: Find the prime factorization of 127

127 = 127

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

LCM = 15494 = 2 x 61 x 127

Step 4: Therefore, the least common multiple of 122 and 127 is 15494.