LCM for 24 and 51

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's 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 nubmers and pick the first which matching:

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

Related Calculations

LCM Table

Number 1Number 2LCM
951153
1051510
1151561
1251204
1351
1451714
1551255
1651816
1751
1851306
1951969
20511020
2151
22511122
23511173
2451
25511275
26511326
2751459
28511428
29511479
3051510
31511581
32511632
3351561
3451
35511785
3651612
37511887
38511938

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

FAQ

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

LCM of 24 and 51 is 408