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LCM for 40 and 465

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 40 and 465?

Answer

LCM of 40 and 465 is 3,720

(Three thousand, seven hundred twenty)

Finding LCM for 40 and 465 using GCF of these numbers

The first method to find LCM for numbers 40 and 465 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 40 and 465 is 5, so

LCM = (40 × 465) ÷ 5

LCM = 18600 ÷ 5

LCM = 3720

Finding LCM for 40 and 465 by Listing Multiples

The second method to find LCM for numbers 40 and 465 is to list out the common multiples for both numbers and pick the first one that matches:

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, 1600, 1640, 1680, 1720, 1760, 1800, 1840, 1880, 1920, 1960, 2000, 2040, 2080, 2120, 2160, 2200, 2240, 2280, 2320, 2360, 2400, 2440, 2480, 2520, 2560, 2600, 2640, 2680, 2720, 2760, 2800, 2840, 2880, 2920, 2960, 3000, 3040, 3080, 3120, 3160, 3200, 3240, 3280, 3320, 3360, 3400, 3440, 3480, 3520, 3560, 3600, 3640, 3680, 3720, 3760, 3800

Multiples of 465: 465, 930, 1395, 1860, 2325, 2790, 3255, 3720, 4185, 4650

So the LCM for 40 and 465 is 3720

Finding LCM for 40 and 465 by Prime Factorization

Another method to find LCM for numbers 40 and 465 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 40: 2, 2, 2, 5 (exponent form: 23, 51)

All Prime Factors of 465: 3, 5, 31 (exponent form: 31, 51, 311)

23 × 51 × 31 × 311 = 3720

Related Calculations

See Also

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What is the LCM of 40 and 465?. Find the LCM of 40 and 465 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
254652325
2646512090
274654185
2846513020
2946513485
30465930
31465465
3246514880
334655115
3446515810
354653255
364655580
3746517205
3846517670
394656045
404653720
4146519065
424656510
4346519995
4446520460
454651395
4646521390
4746521855
484657440
4946522785
504654650
514657905
5246524180
5346524645
544658370

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 40 and 465? (The answer is: 3720). Select the first number (e.g. '40') and the second number (e.g. '465'). 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 40 and 465?

LCM of 40 and 465 is 3,720

How to find the LCM of 40 and 465 using prime factorization?

To find the LCM of 40 and 465, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,720.

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 40 and 465: LCM = 3,720, GCF = 5.

See Also