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

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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 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
957171
1057570
1157627
1257228
1357741
1457798
1557285
1657912
1757969
1857342
195757
20571140
2157399
22571254
23571311
2457456
25571425
26571482
2757513
28571596
29571653
3057570
31571767
32571824
3357627
34571938
35571995
3657684
37572109
3857114

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