LCM for 100 and 470

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 470?

Answer

LCM of 100 and 470 is 4,700

(Four thousand, seven hundred)

Finding LCM for 100 and 470 using GCF of these numbers

The first method to find LCM for numbers 100 and 470 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 470 is 10, so

LCM = (100 × 470) ÷ 10

LCM = 47000 ÷ 10

LCM = 4700

Finding LCM for 100 and 470 by Listing Multiples

The second method to find LCM for numbers 100 and 470 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 470: 470, 940, 1410, 1880, 2350, 2820, 3290, 3760, 4230, 4700, 5170, 5640

So the LCM for 100 and 470 is 4700

Finding LCM for 100 and 470 by Prime Factorization

Another method to find LCM for numbers 100 and 470 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 470: 2, 5, 47 (exponent form: 21, 51, 471)

22 × 52 × 471 = 4700

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 470? (The answer is: 4700). Select the first number (e.g. '100') and the second number (e.g. '470'). 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
854707990
8647020210
8747040890
8847020680
8947041830
904704230
9147042770
9247021620
9347043710
94470470
954708930
9647022560
9747045590
9847023030
9947046530
1004704700
10147047470
10247023970
10347048410
10447024440
1054709870
10647024910
10747050290
10847025380
10947051230
1104705170
11147052170
11247026320
11347053110
11447026790

FAQ

What's the Least Common Multiple (LCM) of 100 and 470?

LCM of 100 and 470 is 4,700

How to find the LCM of 100 and 470 using prime factorization?

To find the LCM of 100 and 470, 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 470: LCM = 4,700, GCF = 10.

See Also