LCM for 16 and 100

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 16 and 100?

Answer

LCM of 16 and 100 is

400

(Four hundred)

Finding LCM for 16 and 100 using GCF of these numbers

The first method to find LCM for numbers 16 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 16 and 100 is 4, so

LCM = (16 × 100) ÷ 4

LCM = 1600 ÷ 4

LCM = 400

Finding LCM for 16 and 100 by Listing Multiples

The second method to find LCM for numbers 16 and 100 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, 336, 352, 368, 384, 400, 416, 432

Multiples of 100: 100, 200, 300, 400, 500, 600

So the LCM for 16 and 100 is 400

Finding LCM for 16 and 100 by Prime Factorization

Another method to find LCM for numbers 16 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 16: 2, 2, 2, 2 (exponent form: 2⁴)

All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 2², 5²)

2⁴ × 5² = 400

Related Calculations

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 16 and 100? (The answer is: 400). Select the first number (e.g. '16') and the second number (e.g. '100'). 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

LCM Table

Number 1	Number 2	LCM
16	23	368
16	24	48
16	25	400
16	26	208
16	27	432
16	28	112
16	29	464
16	30	240
16	31	496
16	32	32
16	34	272
16	35	560
16	36	144
16	38	304
16	39	624
16	40	80
16	42	336
16	43	688
16	44	176
16	45	720
16	46	368
16	48	48
16	51	816
16	55	880
16	56	112
16	57	912
16	58	464
16	59	944
16	72	144
16	100	400

FAQ

What's the Least Common Multiple (LCM) of 16 and 100?

LCM of 16 and 100 is 400

How to find the LCM of 16 and 100 using prime factorization?

To find the LCM of 16 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 400.

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 16 and 100: LCM = 400, GCF = 4.

LCM for 16 and 100

What's the Least Common Multiple (LCM) of 16 and 100?

Finding LCM for 16 and 100 using GCF of these numbers

Finding LCM for 16 and 100 by Listing Multiples

Finding LCM for 16 and 100 by Prime Factorization

Related Calculations

See Also

About "Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 16 and 100?

How to find the LCM of 16 and 100 using prime factorization?

What is the difference between LCM and GCF?

See Also

Number 1	Number 2	LCM
16	23	368
16	24	48
16	25	400
16	26	208
16	27	432
16	28	112
16	29	464
16	30	240
16	31	496
16	32	32
16	34	272
16	35	560
16	36	144
16	38	304
16	39	624
16	40	80
16	42	336
16	43	688
16	44	176
16	45	720
16	46	368
16	48	48
16	51	816
16	55	880
16	56	112
16	57	912
16	58	464
16	59	944
16	72	144
16	100	400

Number 1	Number 2	LCM
16	23	368
16	24	48
16	25	400
16	26	208
16	27	432
16	28	112
16	29	464
16	30	240
16	31	496
16	32	32
16	34	272
16	35	560
16	36	144
16	38	304
16	39	624
16	40	80
16	42	336
16	43	688
16	44	176
16	45	720
16	46	368
16	48	48
16	51	816
16	55	880
16	56	112
16	57	912
16	58	464
16	59	944
16	72	144
16	100	400

Number 1	Number 2	LCM
16	23	368
16	24	48
16	25	400
16	26	208
16	27	432
16	28	112
16	29	464
16	30	240
16	31	496
16	32	32
16	34	272
16	35	560
16	36	144
16	38	304
16	39	624
16	40	80
16	42	336
16	43	688
16	44	176
16	45	720
16	46	368
16	48	48
16	51	816
16	55	880
16	56	112
16	57	912
16	58	464
16	59	944
16	72	144
16	100	400