LCM for 40 and 100

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What's the Least Common Multiple (LCM) of 40 and 100?

Answer

LCM of 40 and 100 is
200

(Two hundred)

Finding LCM for 40 and 100 using GCF of these numbers

The first method to find LCM for numbers 40 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 40 and 100 is 20, so

LCM = (40 × 100) ÷ 20

LCM = 4,000 ÷ 20

LCM = 200

Finding LCM for 40 and 100 by Listing Multiples

The second method to find LCM for numbers 40 and 100 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

Multiples of 100: 100, 200, 300, 400

So the LCM for 40 and 100 is 200

Finding LCM for 40 and 100 by Prime Factorization

Another method to find LCM for numbers 40 and 100 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 100: 2, 2, 5, 5 (exponent form: 22, 52)

23 × 52 = 200

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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 100? (The answer is: 200). Select the first number (e.g. '40') and the second number (e.g. '100'). 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
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LCM Table

Number 1Number 2LCM
4050200
4055440
4056280
40572,280
4060120
40632,520
4064320
4065520
40661,320
4070280
4072360
408080
4084840
4090360
4096480
40100200
40115920
40120120
401251,000
40144720
40150600
401551,240
40160160
40180360
401951,560
40220440
402251,800
40230920
402501,000
402552,040

FAQ

What's the Least Common Multiple (LCM) of 40 and 100?

LCM of 40 and 100 is 200

How to find the LCM of 40 and 100 using prime factorization?

To find the LCM of 40 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 200.

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 100: LCM = 200, GCF = 20.

See Also