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LCM for 47 and 48

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 47 and 48?

Answer

LCM of 47 and 48 is 2,256

(Two thousand, two hundred fifty-six)

Finding LCM for 47 and 48 using GCF of these numbers

The first method to find LCM for numbers 47 and 48 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 47 and 48 is 1, so

LCM = (47 × 48) ÷ 1

LCM = 2256 ÷ 1

LCM = 2256

Finding LCM for 47 and 48 by Listing Multiples

The second method to find LCM for numbers 47 and 48 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 47: 47, 94, 141, 188, 235, 282, 329, 376, 423, 470, 517, 564, 611, 658, 705, 752, 799, 846, 893, 940, 987, 1034, 1081, 1128, 1175, 1222, 1269, 1316, 1363, 1410, 1457, 1504, 1551, 1598, 1645, 1692, 1739, 1786, 1833, 1880, 1927, 1974, 2021, 2068, 2115, 2162, 2209, 2256, 2303, 2350

Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1008, 1056, 1104, 1152, 1200, 1248, 1296, 1344, 1392, 1440, 1488, 1536, 1584, 1632, 1680, 1728, 1776, 1824, 1872, 1920, 1968, 2016, 2064, 2112, 2160, 2208, 2256, 2304, 2352

So the LCM for 47 and 48 is 2256

Finding LCM for 47 and 48 by Prime Factorization

Another method to find LCM for numbers 47 and 48 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 47: 47 (exponent form: 471)

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

471 × 24 × 31 = 2256

Related Calculations

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What is the LCM of 47 and 48?. Find the LCM of 47 and 48 - the smallest common multiple of two integers.
https://calculat.io/en/number/least-common-multiple-lcm-of/47--48/generated.jpgCopy

LCM Table

Number 1Number 2LCM
324896
3348528
3448816
35481680
3648144
37481776
3848912
3948624
4048240
41481968
4248336
43482064
4448528
4548720
46481104
47482256
484848
49482352
50481200
5148816
5248624
53482544
5448432
55482640
5648336
5748912
58481392
59482832
6048240
61482928

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 47 and 48? (The answer is: 2256). Select the first number (e.g. '47') and the second number (e.g. '48'). 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

FAQ

What's the Least Common Multiple (LCM) of 47 and 48?

LCM of 47 and 48 is 2,256

How to find the LCM of 47 and 48 using prime factorization?

To find the LCM of 47 and 48, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,256.

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 47 and 48: LCM = 2,256, GCF = 1.

See Also