LCM for 24 and 51

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 24 and 51?

Answer

LCM of 24 and 51 is 408

(Four hundred eight)

Finding LCM for 24 and 51 using GCF of these numbers

The first method to find LCM for numbers 24 and 51 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 24 and 51 is 3, so

LCM = (24 × 51) ÷ 3

LCM = 1224 ÷ 3

LCM = 408

Finding LCM for 24 and 51 by Listing Multiples

The second method to find LCM for numbers 24 and 51 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

Multiples of 51: 51, 102, 153, 204, 255, 306, 357, 408, 459, 510

So the LCM for 24 and 51 is 408

Finding LCM for 24 and 51 by Prime Factorization

Another method to find LCM for numbers 24 and 51 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 51: 3, 17 (exponent form: 31, 171)

23 × 31 × 171 = 408

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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 51? (The answer is: 408). Select the first number (e.g. '24') and the second number (e.g. '51'). 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
951153
1051510
1151561
1251204
1351663
1451714
1551255
1651816
175151
1851306
1951969
20511020
2151357
22511122
23511173
2451408
25511275
26511326
2751459
28511428
29511479
3051510
31511581
32511632
3351561
3451102
35511785
3651612
37511887
38511938

FAQ

What's the Least Common Multiple (LCM) of 24 and 51?

LCM of 24 and 51 is 408

How to find the LCM of 24 and 51 using prime factorization?

To find the LCM of 24 and 51, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 408.

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 51: LCM = 408, GCF = 3.

See Also