LCM for 100 and 505

What's the Least Common Multiple (LCM) of 100 and 505?

Answer: LCM of 100 and 505 is 10,100

(Ten thousand, one hundred)

Finding LCM for 100 and 505 using GCF's of these numbers

The first method to find LCM for numbers 100 and 505 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 505 is 5, so

LCM = (100 × 505) ÷ 5

LCM = 50500 ÷ 5

LCM = 10100

Finding LCM for 100 and 505 by Listing Multiples

The second method to find LCM for numbers 100 and 505 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, 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, 9600, 9700, 9800, 9900, 10000, 10100, 10200, 10300

Multiples of 505: 505, 1010, 1515, 2020, 2525, 3030, 3535, 4040, 4545, 5050, 5555, 6060, 6565, 7070, 7575, 8080, 8585, 9090, 9595, 10100, 10605, 11110

So the LCM for 100 and 505 is 10100

Finding LCM for 100 and 505 by Prime Factorization

Another method to find LCM for numbers 100 and 505 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 505: 5, 101 (exponent form: 51, 1011)

22 × 52 × 1011 = 10100

LCM Table

Number 1Number 2LCM
855058585
8650543430
8750543935
8850544440
8950544945
905059090
9150545955
9250546460
9350546965
9450547470
955059595
9650548480
9750548985
9850549490
9950549995
10050510100
101505505
10250551510
10350552015
10450552520
10550510605
10650553530
10750554035
10850554540
10950555045
11050511110
11150556055
11250556560
11350557065
11450557570

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 505? (The answer is: 10100). Select the first number (e.g. '100') and the second number (e.g. '505'). 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

FAQ

What's the Least Common Multiple (LCM) of 100 and 505?

LCM of 100 and 505 is 10,100