LCM for 19 and 24

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 19 and 24?

Answer

LCM of 19 and 24 is 456

(Four hundred fifty-six)

Finding LCM for 19 and 24 using GCF of these numbers

The first method to find LCM for numbers 19 and 24 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 19 and 24 is 1, so

LCM = (19 × 24) ÷ 1

LCM = 456 ÷ 1

LCM = 456

Finding LCM for 19 and 24 by Listing Multiples

The second method to find LCM for numbers 19 and 24 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 19: 19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 304, 323, 342, 361, 380, 399, 418, 437, 456, 475, 494

Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480, 504

So the LCM for 19 and 24 is 456

Finding LCM for 19 and 24 by Prime Factorization

Another method to find LCM for numbers 19 and 24 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 19: 19 (exponent form: 191)

All Prime Factors of 24: 2, 2, 2, 3 (exponent form: 23, 31)

191 × 23 × 31 = 456

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 19 and 24? (The answer is: 456). Select the first number (e.g. '19') and the second number (e.g. '24'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1 Number 2 LCM
4 24 24
5 24 120
6 24 24
7 24 168
8 24 24
9 24 72
10 24 120
11 24 264
12 24 24
13 24 312
14 24 168
15 24 120
16 24 48
17 24 408
18 24 72
19 24 456
20 24 120
21 24 168
22 24 264
23 24 552
24 24 24
25 24 600
26 24 312
27 24 216
28 24 168
29 24 696
30 24 120
31 24 744
32 24 96
33 24 264

FAQ

What's the Least Common Multiple (LCM) of 19 and 24?
LCM of 19 and 24 is 456

How to find the LCM of 19 and 24 using prime factorization?
To find the LCM of 19 and 24, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 456.

What is the difference between LCM and GCF?
LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 19 and 24: LCM = 456, GCF = 1.

See Also