LCM for 400 and 1,080

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What's the Least Common Multiple (LCM) of 400 and 1,080?

Answer

LCM of 400 and 1,080 is
10,800

(Ten thousand eight hundred)

Finding LCM for 400 and 1,080 using GCF of these numbers

The first method to find LCM for numbers 400 and 1,080 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 400 and 1,080 is 40, so

LCM = (400 × 1,080) ÷ 40

LCM = 432,000 ÷ 40

LCM = 10,800

Finding LCM for 400 and 1,080 by Listing Multiples

The second method to find LCM for numbers 400 and 1,080 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 400: 400, 800, 1,200, 1,600, 2,000, 2,400, 2,800, 3,200, 3,600, 4,000, 4,400, 4,800, 5,200, 5,600, 6,000, 6,400, 6,800, 7,200, 7,600, 8,000, 8,400, 8,800, 9,200, 9,600, 10,000, 10,400, 10,800, 11,200, 11,600

Multiples of 1,080: 1,080, 2,160, 3,240, 4,320, 5,400, 6,480, 7,560, 8,640, 9,720, 10,800, 11,880, 12,960

So the LCM for 400 and 1,080 is 10,800

Finding LCM for 400 and 1,080 by Prime Factorization

Another method to find LCM for numbers 400 and 1,080 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 400: 2, 2, 2, 2, 5, 5 (exponent form: 24, 52)

All Prime Factors of 1,080: 2, 2, 2, 3, 3, 3, 5 (exponent form: 23, 33, 51)

24 × 52 × 33 = 10,800

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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 400 and 1,080? (The answer is: 10,800). Select the first number (e.g. '400') and the second number (e.g. '1,080'). 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
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LCM Table

Number 1Number 2LCM
4001,06585,200
4001,066213,200
4001,067426,800
4001,068106,800
4001,069427,600
4001,07042,800
4001,071428,400
4001,07226,800
4001,073429,200
4001,074214,800
4001,07517,200
4001,076107,600
4001,077430,800
4001,078215,600
4001,079431,600
4001,08010,800
4001,081432,400
4001,082216,400
4001,083433,200
4001,084108,400
4001,08586,800
4001,086217,200
4001,087434,800
4001,08827,200
4001,089435,600
4001,09043,600
4001,091436,400
4001,092109,200
4001,093437,200
4001,094218,800

FAQ

What's the Least Common Multiple (LCM) of 400 and 1,080?

LCM of 400 and 1,080 is 10,800

How to find the LCM of 400 and 1,080 using prime factorization?

To find the LCM of 400 and 1,080, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 10,800.

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 400 and 1,080: LCM = 10,800, GCF = 40.

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