LCM for 37 and 56

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What's the Least Common Multiple (LCM) of 37 and 56?

Answer

LCM of 37 and 56 is
2,072

(Two thousand seventy-two)

Finding LCM for 37 and 56 using GCF of these numbers

The first method to find LCM for numbers 37 and 56 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 37 and 56 is 1, so

LCM = (37 × 56) ÷ 1

LCM = 2,072 ÷ 1

LCM = 2,072

Finding LCM for 37 and 56 by Listing Multiples

The second method to find LCM for numbers 37 and 56 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 37: 37, 74, 111, 148, 185, 222, 259, 296, 333, 370, 407, 444, 481, 518, 555, 592, 629, 666, 703, 740, 777, 814, 851, 888, 925, 962, 999, 1036, 1073, 1110, 1147, 1184, 1221, 1258, 1295, 1332, 1369, 1406, 1443, 1480, 1517, 1554, 1591, 1628, 1665, 1702, 1739, 1776, 1813, 1850, 1887, 1924, 1961, 1998, 2035, 2072, 2109, 2146

Multiples of 56: 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728, 784, 840, 896, 952, 1008, 1064, 1120, 1176, 1232, 1288, 1344, 1400, 1456, 1512, 1568, 1624, 1680, 1736, 1792, 1848, 1904, 1960, 2016, 2072, 2128, 2184

So the LCM for 37 and 56 is 2,072

Finding LCM for 37 and 56 by Prime Factorization

Another method to find LCM for numbers 37 and 56 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 37: 37 (exponent form: 371)

All Prime Factors of 56: 2, 2, 2, 7 (exponent form: 23, 71)

371 × 23 × 71 = 2,072

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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 37 and 56? (The answer is: 2,072). Select the first number (e.g. '37') and the second number (e.g. '56'). 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
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LCM Table

Number 1Number 2LCM
37411,517
37421,554
37431,591
37441,628
37451,665
37461,702
37471,739
37481,776
37491,813
37501,850
37511,887
37521,924
37531,961
37541,998
37552,035
37562,072
37572,109
37582,146
37592,183
37602,220
37612,257
37622,294
37632,331
37642,368
37652,405
37662,442
37672,479
37682,516
37692,553
37702,590

FAQ

What's the Least Common Multiple (LCM) of 37 and 56?

LCM of 37 and 56 is 2,072

How to find the LCM of 37 and 56 using prime factorization?

To find the LCM of 37 and 56, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,072.

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 37 and 56: LCM = 2,072, GCF = 1.

See Also