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LCM for 100 and 365

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 365?

Answer

LCM of 100 and 365 is 7,300

(Seven thousand, three hundred)

Finding LCM for 100 and 365 using GCF of these numbers

The first method to find LCM for numbers 100 and 365 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 365 is 5, so

LCM = (100 × 365) ÷ 5

LCM = 36500 ÷ 5

LCM = 7300

Finding LCM for 100 and 365 by Listing Multiples

The second method to find LCM for numbers 100 and 365 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, 1900, 2000, 2100, 2200, 2300, 2400, 2500, 2600, 2700, 2800, 2900, 3000, 3100, 3200, 3300, 3400, 3500, 3600, 3700, 3800, 3900, 4000, 4100, 4200, 4300, 4400, 4500, 4600, 4700, 4800, 4900, 5000, 5100, 5200, 5300, 5400, 5500, 5600, 5700, 5800, 5900, 6000, 6100, 6200, 6300, 6400, 6500, 6600, 6700, 6800, 6900, 7000, 7100, 7200, 7300, 7400, 7500

Multiples of 365: 365, 730, 1095, 1460, 1825, 2190, 2555, 2920, 3285, 3650, 4015, 4380, 4745, 5110, 5475, 5840, 6205, 6570, 6935, 7300, 7665, 8030

So the LCM for 100 and 365 is 7300

Finding LCM for 100 and 365 by Prime Factorization

Another method to find LCM for numbers 100 and 365 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 365: 5, 73 (exponent form: 51, 731)

22 × 52 × 731 = 7300

See Also

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What is the LCM of 100 and 365?. The LCM of 100 and 365 is 7300 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
100225900
1002302300
1002354700
1002401200
100250500
1002555100
1002601300
1002702700
1002751100
1002855700
1002902900
1003201600
1003251300
1003303300
1003401700
1003601800
1003657300
1003751500
1003857700
100400400
1004058100
1004158300
1004251700
1004458900
100450900
1004659300
1004704700
1004859700
1004904900
100500500

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 365? (The answer is: 7300). Select the first number (e.g. '100') and the second number (e.g. '365'). 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 365?

LCM of 100 and 365 is 7,300

How to find the LCM of 100 and 365 using prime factorization?

To find the LCM of 100 and 365, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 7,300.

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 365: LCM = 7,300, GCF = 5.

See Also