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LCM for 100 and 160

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 160?

Answer

LCM of 100 and 160 is 800

(Eight hundred)

Finding LCM for 100 and 160 using GCF of these numbers

The first method to find LCM for numbers 100 and 160 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 160 is 20, so

LCM = (100 × 160) ÷ 20

LCM = 16000 ÷ 20

LCM = 800

Finding LCM for 100 and 160 by Listing Multiples

The second method to find LCM for numbers 100 and 160 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

Multiples of 160: 160, 320, 480, 640, 800, 960, 1120

So the LCM for 100 and 160 is 800

Finding LCM for 100 and 160 by Prime Factorization

Another method to find LCM for numbers 100 and 160 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 160: 2, 2, 2, 2, 2, 5 (exponent form: 25, 51)

25 × 52 = 800

Related Calculations

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What is the LCM of 100 and 160?. Find the LCM of 100 and 160 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
851602720
861606880
8716013920
881601760
8916014240
901601440
9116014560
921603680
9316014880
941607520
951603040
96160480
9716015520
981607840
9916015840
100160800
10116016160
1021608160
10316016480
1041602080
1051603360
1061608480
10716017120
1081604320
10916017440
1101601760
11116017760
1121601120
11316018080
1141609120

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 160? (The answer is: 800). Select the first number (e.g. '100') and the second number (e.g. '160'). 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 160?

LCM of 100 and 160 is 800

How to find the LCM of 100 and 160 using prime factorization?

To find the LCM of 100 and 160, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 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 100 and 160: LCM = 800, GCF = 20.

See Also