LCM for 100 and 735

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 735?

Answer: LCM of 100 and 735 is 14,700

(Fourteen thousand, seven hundred)

Finding LCM for 100 and 735 using GCF's of these numbers

The first method to find LCM for numbers 100 and 735 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 735 is 5, so

LCM = (100 × 735) ÷ 5

LCM = 73500 ÷ 5

LCM = 14700

Finding LCM for 100 and 735 by Listing Multiples

The second method to find LCM for numbers 100 and 735 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, 10400, 10500, 10600, 10700, 10800, 10900, 11000, 11100, 11200, 11300, 11400, 11500, 11600, 11700, 11800, 11900, 12000, 12100, 12200, 12300, 12400, 12500, 12600, 12700, 12800, 12900, 13000, 13100, 13200, 13300, 13400, 13500, 13600, 13700, 13800, 13900, 14000, 14100, 14200, 14300, 14400, 14500, 14600, 14700, 14800, 14900

Multiples of 735: 735, 1470, 2205, 2940, 3675, 4410, 5145, 5880, 6615, 7350, 8085, 8820, 9555, 10290, 11025, 11760, 12495, 13230, 13965, 14700, 15435, 16170

So the LCM for 100 and 735 is 14700

Finding LCM for 100 and 735 by Prime Factorization

Another method to find LCM for numbers 100 and 735 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 735: 3, 5, 7, 7 (exponent form: 31, 51, 72)

22 × 52 × 31 × 72 = 14700

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LCM Table

Number 1Number 2LCM
8573512495
8673563210
8773521315
8873564680
8973565415
907354410
917359555
9273567620
9373522785
9473569090
9573513965
9673523520
9773571295
987351470
9973524255
10073514700
10173574235
10273524990
10373575705
10473576440
105735735
10673577910
10773578645
10873526460
10973580115
11073516170
11173527195
11273511760
11373583055
11473527930

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 735? (The answer is: 14700). Select the first number (e.g. '100') and the second number (e.g. '735'). 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 735?

LCM of 100 and 735 is 14,700

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