LCM for 100 and 1000

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 1000?

Answer: LCM of 100 and 1000 is 1,000

(Thousand)

Finding LCM for 100 and 1000 using GCF's of these numbers

The first method to find LCM for numbers 100 and 1000 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 1000 is 100, so

LCM = (100 × 1000) ÷ 100

LCM = 100000 ÷ 100

LCM = 1000

Finding LCM for 100 and 1000 by Listing Multiples

The second method to find LCM for numbers 100 and 1000 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200

Multiples of 1000: 1000, 2000, 3000, 4000, 5000, 6000, 7000, 8000, 9000, 10000, 11000, 12000, [...], 1000

So the LCM for 100 and 1000 is 1000

Finding LCM for 100 and 1000 by Prime Factorization

Another method to find LCM for numbers 100 and 1000 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 1000: 2, 2, 2, 5, 5, 5 (exponent form: 23, 53)

23 × 53 = 1000

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LCM Table

Number 1Number 2LCM
85100017000
86100043000
87100087000
88100011000
89100089000
9010009000
91100091000
92100023000
93100093000
94100047000
95100019000
96100012000
97100097000
98100049000
99100099000
10010001000
1011000101000
102100051000
1031000103000
104100013000
105100021000
106100053000
1071000107000
108100027000
1091000109000
110100011000
1111000111000
112100014000
1131000113000
114100057000

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 1000? (The answer is: 1000). Select the first number (e.g. '100') and the second number (e.g. '1000'). 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 1000?

LCM of 100 and 1000 is 1,000

See Also