LCM for 40 and 375

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 40 and 375?

Answer

LCM of 40 and 375 is 3,000

(Three thousand)

Finding LCM for 40 and 375 using GCF of these numbers

The first method to find LCM for numbers 40 and 375 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 40 and 375 is 5, so

LCM = (40 × 375) ÷ 5

LCM = 15000 ÷ 5

LCM = 3000

Finding LCM for 40 and 375 by Listing Multiples

The second method to find LCM for numbers 40 and 375 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

Multiples of 375: 375, 750, 1125, 1500, 1875, 2250, 2625, 3000, 3375, 3750

So the LCM for 40 and 375 is 3000

Finding LCM for 40 and 375 by Prime Factorization

Another method to find LCM for numbers 40 and 375 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 375: 3, 5, 5, 5 (exponent form: 31, 53)

23 × 53 × 31 = 3000

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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 40 and 375? (The answer is: 3000). Select the first number (e.g. '40') and the second number (e.g. '375'). 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
25375375
263759750
273753375
2837510500
2937510875
30375750
3137511625
3237512000
333754125
3437512750
353752625
363754500
3737513875
3837514250
393754875
403753000
4137515375
423755250
4337516125
4437516500
453751125
4637517250
4737517625
483756000
4937518375
50375750
513756375
5237519500
5337519875
543756750

FAQ

What's the Least Common Multiple (LCM) of 40 and 375?

LCM of 40 and 375 is 3,000

How to find the LCM of 40 and 375 using prime factorization?

To find the LCM of 40 and 375, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,000.

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 375: LCM = 3,000, GCF = 5.

See Also