LCM for 100 and 355

What's the Least Common Multiple (LCM) of 100 and 355?

Answer: LCM of 100 and 355 is 7,100

(Seven thousand, one hundred)

Finding LCM for 100 and 355 using GCF's of these numbers

The first method to find LCM for numbers 100 and 355 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 355 is 5, so

LCM = (100 × 355) ÷ 5

LCM = 35500 ÷ 5

LCM = 7100

Finding LCM for 100 and 355 by Listing Multiples

The second method to find LCM for numbers 100 and 355 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

Multiples of 355: 355, 710, 1065, 1420, 1775, 2130, 2485, 2840, 3195, 3550, 3905, 4260, 4615, 4970, 5325, 5680, 6035, 6390, 6745, 7100, 7455, 7810

So the LCM for 100 and 355 is 7100

Finding LCM for 100 and 355 by Prime Factorization

Another method to find LCM for numbers 100 and 355 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 355: 5, 71 (exponent form: 51, 711)

22 × 52 × 711 = 7100

LCM Table

Number 1Number 2LCM
853556035
8635530530
8735530885
8835531240
8935531595
903556390
9135532305
9235532660
9335533015
9435533370
953556745
9635534080
9735534435
9835534790
9935535145
1003557100
10135535855
10235536210
10335536565
10435536920
1053557455
10635537630
10735537985
10835538340
10935538695
1103557810
11135539405
11235539760
11335540115
11435540470

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 355? (The answer is: 7100). Select the first number (e.g. '100') and the second number (e.g. '355'). 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 355?

LCM of 100 and 355 is 7,100