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LCM for 40 and 315

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 40 and 315?

Answer

LCM of 40 and 315 is 2,520

(Two thousand, five hundred twenty)

Finding LCM for 40 and 315 using GCF of these numbers

The first method to find LCM for numbers 40 and 315 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 40 and 315 is 5, so

LCM = (40 × 315) ÷ 5

LCM = 12600 ÷ 5

LCM = 2520

Finding LCM for 40 and 315 by Listing Multiples

The second method to find LCM for numbers 40 and 315 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

Multiples of 315: 315, 630, 945, 1260, 1575, 1890, 2205, 2520, 2835, 3150

So the LCM for 40 and 315 is 2520

Finding LCM for 40 and 315 by Prime Factorization

Another method to find LCM for numbers 40 and 315 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 315: 3, 3, 5, 7 (exponent form: 32, 51, 71)

23 × 51 × 32 × 71 = 2520

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What is the LCM of 40 and 315?. The LCM of 40 and 315 is 2520 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
40115920
40120120
401251000
40150600
401551240
40160160
40180360
401951560
40220440
402251800
40230920
402501000
402552040
40260520
402652120
402901160
402952360
40300600
403152520
40320320
403301320
403552840
403701480
403753000
40380760
403953160
404153320
40460920
404653720
40480480

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 315? (The answer is: 2520). Select the first number (e.g. '40') and the second number (e.g. '315'). 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 315?

LCM of 40 and 315 is 2,520

How to find the LCM of 40 and 315 using prime factorization?

To find the LCM of 40 and 315, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,520.

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 315: LCM = 2,520, GCF = 5.

See Also