LCM for 37 and 40

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What's the Least Common Multiple (LCM) of 37 and 40?

Answer

LCM of 37 and 40 is
1,480

(One thousand four hundred eighty)

Finding LCM for 37 and 40 using GCF of these numbers

The first method to find LCM for numbers 37 and 40 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 37 and 40 is 1, so

LCM = (37 × 40) ÷ 1

LCM = 1,480 ÷ 1

LCM = 1,480

Finding LCM for 37 and 40 by Listing Multiples

The second method to find LCM for numbers 37 and 40 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

Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920, 960, 1000, 1040, 1080, 1120, 1160, 1200, 1240, 1280, 1320, 1360, 1400, 1440, 1480, 1520, 1560

So the LCM for 37 and 40 is 1,480

Finding LCM for 37 and 40 by Prime Factorization

Another method to find LCM for numbers 37 and 40 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 40: 2, 2, 2, 5 (exponent form: 23, 51)

371 × 23 × 51 = 1,480

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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 40? (The answer is: 1,480). Select the first number (e.g. '37') and the second number (e.g. '40'). 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
3725925
3726962
3727999
37281,036
37291,073
37301,110
37311,147
37321,184
37331,221
37341,258
37351,295
37361,332
373737
37381,406
37391,443
37401,480
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

FAQ

What's the Least Common Multiple (LCM) of 37 and 40?

LCM of 37 and 40 is 1,480

How to find the LCM of 37 and 40 using prime factorization?

To find the LCM of 37 and 40, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,480.

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 40: LCM = 1,480, GCF = 1.

See Also