Least Common Multiple of 2122 and 2124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2122 and 2124 the smallest integer that is 2253564 that is divisible by both numbers.

Least Common Multiple (LCM) of 2122 and 2124 is 2253564.

LCM(2122,2124) = 2253564

LCM of 2122 and 2124

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

LCM of:
and

Least Common Multiple of 2122 and 2124

LCM of 2122 and 2124 is 2253564

Least common multiple can be found by multiplying the highest exponent prime factors of 2122 and 2124. First we will calculate the prime factors of 2122 and 2124.

Prime Factorization of 2122


2 2122
1061 1061
1

Prime factors of 2122 are 2,1061. Prime factorization of 2122 in exponential form is:

2122 = 21×10611

Prime Factorization of 2124


2 2124
2 1062
3 531
3 177
59 59
1

Prime factors of 2124 are 2, 3,59. Prime factorization of 2124 in exponential form is:

2124 = 22×32×591

Now multiplying the highest exponent prime factors to calculate the LCM of 2122 and 2124.

LCM(2122,2124) = 22×32×591×10611
LCM(2122,2124) = 2253564

Factors of 2122

List of positive integer factors of 2122 that divides 2122 without a remainder.

1, 2, 1061, 2122

Factors of 2124

List of positive integer factors of 2124 that divides 2124 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062, 2124

Least Common Multiple of 2122 and 2124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2122 and 2124, than apply into the LCM equation.

GCF(2122,2124) = 2
LCM(2122,2124) = ( 2122 × 2124) / 2
LCM(2122,2124) = 4507128 / 2
LCM(2122,2124) = 2253564

Properties of LCM 2122 and 2124

(i) The LCM of 2124 and 2122 is associative

LCM of 2122 and 2124 = LCM of 2124 and 2122

Related Least Common Multiples of 2122

Related Least Common Multiples of 2124

Frequently Asked Questions on LCM of 2122 and 2124

1. What is the LCM of 2122 and 2124?

Answer: LCM of 2122 and 2124 is 2253564.

2. What are the Factors of 2122?

Answer: Factors of 2122 are 1, 2, 1061, 2122. There are 4 integers that are factors of 2122. The greatest factor of 2122 is 2122.

3. What are the Factors of 2124?

Answer: Factors of 2124 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062, 2124. There are 18 integers that are factors of 2124. The greatest factor of 2124 is 2124.

4. How to Find the LCM of 2122 and 2124?

Answer:

Least Common Multiple of 2122 and 2124 = 2253564

Step 1: Find the prime factorization of 2122

2122 = 2 x 1061

Step 2: Find the prime factorization of 2124

2124 = 2 x 2 x 3 x 3 x 59

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

LCM = 2253564 = 2 x 2 x 3 x 3 x 59 x 1061

Step 4: Therefore, the least common multiple of 2122 and 2124 is 2253564.