LCM for 48 and 51

What's the Least Common Multiple (LCM) of 48 and 51?

Answer: LCM of 48 and 51 is 816

(Eight hundred sixteen)

Finding LCM for 48 and 51 using GCF's of these numbers

The first method to find LCM for numbers 48 and 51 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 51 is 3, so

LCM = (48 × 51) ÷ 3

LCM = 2448 ÷ 3

LCM = 816

Finding LCM for 48 and 51 by Listing Multiples

The second method to find LCM for numbers 48 and 51 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912

Multiples of 51: 51, 102, 153, 204, 255, 306, 357, 408, 459, 510, 561, 612, 663, 714, 765, 816, 867, 918

So the LCM for 48 and 51 is 816

Finding LCM for 48 and 51 by Prime Factorization

Another method to find LCM for numbers 48 and 51 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

All Prime Factors of 51: 3, 17 (exponent form: 31, 171)

24 × 31 × 171 = 816

Related Calculations

LCM Table

Number 1Number 2LCM
3351561
3451
35511785
3651612
37511887
38511938
3951663
40512040
41512091
4251714
43512193
44512244
4551765
46512346
47512397
4851
49512499
50512550
515151
52512652
53512703
5451918
55512805
56512856
5751969
58512958
59513009
60511020
61513111
62513162

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 48 and 51? (The answer is: 816). Select the first number (e.g. '48') 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 48 and 51?

LCM of 48 and 51 is 816