LCM for 37 and 40

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 = 1480 ÷ 1

LCM = 1480

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 1480

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 = 1480

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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: 1480). 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

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
3725925
3726962
3727999
37281036
37291073
37301110
37311147
37321184
37331221
37341258
37351295
37361332
373737
37381406
37391443
37401480
37411517
37421554
37431591
37441628
37451665
37461702
37471739
37481776
37491813
37501850
37511887
37521924
37531961
37541998

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