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

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

LCM Table

Number 1Number 2LCM
853656205
8636531390
8736531755
8836532120
8936532485
903656570
9136533215
9236533580
9336533945
9436534310
953656935
9636535040
9736535405
9836535770
9936536135
1003657300
10136536865
10236537230
10336537595
10436537960
1053657665
10636538690
10736539055
10836539420
10936539785
1103658030
11136540515
11236540880
11336541245
11436541610

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