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LCM for 100 and 235

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 235?

Answer

LCM of 100 and 235 is 4,700

(Four thousand, seven hundred)

Finding LCM for 100 and 235 using GCF of these numbers

The first method to find LCM for numbers 100 and 235 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 235 is 5, so

LCM = (100 × 235) ÷ 5

LCM = 23500 ÷ 5

LCM = 4700

Finding LCM for 100 and 235 by Listing Multiples

The second method to find LCM for numbers 100 and 235 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

Multiples of 235: 235, 470, 705, 940, 1175, 1410, 1645, 1880, 2115, 2350, 2585, 2820, 3055, 3290, 3525, 3760, 3995, 4230, 4465, 4700, 4935, 5170

So the LCM for 100 and 235 is 4700

Finding LCM for 100 and 235 by Prime Factorization

Another method to find LCM for numbers 100 and 235 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 235: 5, 47 (exponent form: 51, 471)

22 × 52 × 471 = 4700

Related Calculations

See Also

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What is the LCM of 100 and 235?. Find the LCM of 100 and 235 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
852353995
8623520210
8723520445
8823520680
8923520915
902354230
9123521385
9223521620
9323521855
94235470
952354465
9623522560
9723522795
9823523030
9923523265
1002354700
10123523735
10223523970
10323524205
10423524440
1052354935
10623524910
10723525145
10823525380
10923525615
1102355170
11123526085
11223526320
11323526555
11423526790

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 235? (The answer is: 4700). Select the first number (e.g. '100') and the second number (e.g. '235'). 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 235?

LCM of 100 and 235 is 4,700

How to find the LCM of 100 and 235 using prime factorization?

To find the LCM of 100 and 235, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 4,700.

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 235: LCM = 4,700, GCF = 5.

See Also