LCM for 100 and 465

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 465?

Answer

LCM of 100 and 465 is 9,300

(Nine thousand, three hundred)

Finding LCM for 100 and 465 using GCF of these numbers

The first method to find LCM for numbers 100 and 465 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 465 is 5, so

LCM = (100 × 465) ÷ 5

LCM = 46500 ÷ 5

LCM = 9300

Finding LCM for 100 and 465 by Listing Multiples

The second method to find LCM for numbers 100 and 465 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, 7600, 7700, 7800, 7900, 8000, 8100, 8200, 8300, 8400, 8500, 8600, 8700, 8800, 8900, 9000, 9100, 9200, 9300, 9400, 9500

Multiples of 465: 465, 930, 1395, 1860, 2325, 2790, 3255, 3720, 4185, 4650, 5115, 5580, 6045, 6510, 6975, 7440, 7905, 8370, 8835, 9300, 9765, 10230

So the LCM for 100 and 465 is 9300

Finding LCM for 100 and 465 by Prime Factorization

Another method to find LCM for numbers 100 and 465 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 465: 3, 5, 31 (exponent form: 31, 51, 311)

22 × 52 × 31 × 311 = 9300

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 465? (The answer is: 9300). Select the first number (e.g. '100') and the second number (e.g. '465'). 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
854657905
8646539990
8746513485
8846540920
8946541385
904652790
9146542315
9246542780
93465465
9446543710
954658835
9646514880
9746545105
9846545570
9946515345
1004659300
10146546965
10246515810
10346547895
10446548360
1054653255
10646549290
10746549755
10846516740
10946550685
11046510230
11146517205
11246552080
11346552545
11446517670

FAQ

What's the Least Common Multiple (LCM) of 100 and 465?

LCM of 100 and 465 is 9,300

How to find the LCM of 100 and 465 using prime factorization?

To find the LCM of 100 and 465, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 9,300.

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 465: LCM = 9,300, GCF = 5.

See Also