LCM for 24 and 57

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 24 and 57?

Answer

LCM of 24 and 57 is 456

(Four hundred fifty-six)

Finding LCM for 24 and 57 using GCF of these numbers

The first method to find LCM for numbers 24 and 57 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 24 and 57 is 3, so

LCM = (24 × 57) ÷ 3

LCM = 1368 ÷ 3

LCM = 456

Finding LCM for 24 and 57 by Listing Multiples

The second method to find LCM for numbers 24 and 57 is to list out the common multiples for both numbers and pick the first one that matches:

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

Multiples of 57: 57, 114, 171, 228, 285, 342, 399, 456, 513, 570

So the LCM for 24 and 57 is 456

Finding LCM for 24 and 57 by Prime Factorization

Another method to find LCM for numbers 24 and 57 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 57: 3, 19 (exponent form: 31, 191)

23 × 31 × 191 = 456

Related Calculations

See Also

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 24 and 57? (The answer is: 456). Select the first number (e.g. '24') and the second number (e.g. '57'). 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 1Number 2LCM
24972
241648
241872
2425600
2427216
2428168
2430120
2431744
243296
2435840
243672
2440120
2441984
2442168
2444264
2445360
2446552
244848
2451408
24531272
2454216
24551320
2456168
2457456
2460120

FAQ

What's the Least Common Multiple (LCM) of 24 and 57?

LCM of 24 and 57 is 456

How to find the LCM of 24 and 57 using prime factorization?

To find the LCM of 24 and 57, 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 24 and 57: LCM = 456, GCF = 3.

See Also