LCM for 40 and 100

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's 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 = 4000 ÷ 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 nubmers and pick the first which matching:

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

LCM Table

Number 1Number 2LCM
25100
261001300
271002700
28100700
291002900
30100
311003100
32100800
331003300
341001700
35100700
36100900
371003700
381001900
391003900
40100
411004100
421002100
431004300
441001100
45100900
461002300
471004700
481001200
491004900
50100
511005100
521001300
531005300
541002700

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

FAQ

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

LCM of 40 and 100 is 200