Least Common Multiple of 2123 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 2123 and 2124 the smallest integer that is 4509252 that is divisible by both numbers.

Least Common Multiple (LCM) of 2123 and 2124 is 4509252.

LCM(2123,2124) = 4509252

LCM of 2123 and 2124

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

LCM of:
and

Least Common Multiple of 2123 and 2124

LCM of 2123 and 2124 is 4509252

Least common multiple can be found by multiplying the highest exponent prime factors of 2123 and 2124. First we will calculate the prime factors of 2123 and 2124.

Prime Factorization of 2123


11 2123
193 193
1

Prime factors of 2123 are 11,193. Prime factorization of 2123 in exponential form is:

2123 = 111×1931

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 2123 and 2124.

LCM(2123,2124) = 22×32×111×591×1931
LCM(2123,2124) = 4509252

Factors of 2123

List of positive integer factors of 2123 that divides 2123 without a remainder.

1, 11, 193, 2123

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 2123 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 2123 and 2124, than apply into the LCM equation.

GCF(2123,2124) = 1
LCM(2123,2124) = ( 2123 × 2124) / 1
LCM(2123,2124) = 4509252 / 1
LCM(2123,2124) = 4509252

Properties of LCM 2123 and 2124

(i) The LCM of 2124 and 2123 is associative

LCM of 2123 and 2124 = LCM of 2124 and 2123

Related Least Common Multiples of 2123

Related Least Common Multiples of 2124

Frequently Asked Questions on LCM of 2123 and 2124

1. What is the LCM of 2123 and 2124?

Answer: LCM of 2123 and 2124 is 4509252.

2. What are the Factors of 2123?

Answer: Factors of 2123 are 1, 11, 193, 2123. There are 4 integers that are factors of 2123. The greatest factor of 2123 is 2123.

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 2123 and 2124?

Answer:

Least Common Multiple of 2123 and 2124 = 4509252

Step 1: Find the prime factorization of 2123

2123 = 11 x 193

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 = 4509252 = 2 x 2 x 3 x 3 x 11 x 59 x 193

Step 4: Therefore, the least common multiple of 2123 and 2124 is 4509252.