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LCM for 100 and 320

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 320?

Answer

LCM of 100 and 320 is 1,600

(One thousand, six hundred)

Finding LCM for 100 and 320 using GCF of these numbers

The first method to find LCM for numbers 100 and 320 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 320 is 20, so

LCM = (100 × 320) ÷ 20

LCM = 32000 ÷ 20

LCM = 1600

Finding LCM for 100 and 320 by Listing Multiples

The second method to find LCM for numbers 100 and 320 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1700, 1800

Multiples of 320: 320, 640, 960, 1280, 1600, 1920, 2240

So the LCM for 100 and 320 is 1600

Finding LCM for 100 and 320 by Prime Factorization

Another method to find LCM for numbers 100 and 320 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)

All Prime Factors of 320: 2, 2, 2, 2, 2, 2, 5 (exponent form: 26, 51)

26 × 52 = 1600

See Also

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What is the LCM of 100 and 320?. Find the LCM of 100 and 320 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
853205440
8632013760
8732027840
883203520
8932028480
903202880
9132029120
923207360
9332029760
9432015040
953206080
96320960
9732031040
9832015680
9932031680
1003201600
10132032320
10232016320
10332032960
1043204160
1053206720
10632016960
10732034240
1083208640
10932034880
1103203520
11132035520
1123202240
11332036160
11432018240

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 100 and 320? (The answer is: 1600). Select the first number (e.g. '100') and the second number (e.g. '320'). 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 100 and 320?

LCM of 100 and 320 is 1,600

How to find the LCM of 100 and 320 using prime factorization?

To find the LCM of 100 and 320, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,600.

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 100 and 320: LCM = 1,600, GCF = 20.

See Also