LCM for 16 and 57

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 16 and 57?

Answer

LCM of 16 and 57 is 912

(Nine hundred twelve)

Finding LCM for 16 and 57 using GCF of these numbers

The first method to find LCM for numbers 16 and 57 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 16 and 57 is 1, so

LCM = (16 × 57) ÷ 1

LCM = 912 ÷ 1

LCM = 912

Finding LCM for 16 and 57 by Listing Multiples

The second method to find LCM for numbers 16 and 57 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, 448, 464, 480, 496, 512, 528, 544, 560, 576, 592, 608, 624, 640, 656, 672, 688, 704, 720, 736, 752, 768, 784, 800, 816, 832, 848, 864, 880, 896, 912, 928, 944

Multiples of 57: 57, 114, 171, 228, 285, 342, 399, 456, 513, 570, 627, 684, 741, 798, 855, 912, 969, 1026

So the LCM for 16 and 57 is 912

Finding LCM for 16 and 57 by Prime Factorization

Another method to find LCM for numbers 16 and 57 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 57: 3, 19 (exponent form: 31, 191)

24 × 31 × 191 = 912

Related Calculations

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 16 and 57? (The answer is: 912). Select the first number (e.g. '16') and the second number (e.g. '57'). 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
1622176
1623368
162448
1625400
1626208
1627432
1628112
1629464
1630240
1631496
163232
1634272
1635560
1636144
1638304
1639624
164080
1642336
1643688
1644176
1645720
1646368
164848
1651816
1655880
1656112
1657912
1658464
1659944
1684336

FAQ

What's the Least Common Multiple (LCM) of 16 and 57?

LCM of 16 and 57 is 912

How to find the LCM of 16 and 57 using prime factorization?

To find the LCM of 16 and 57, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 912.

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 57: LCM = 912, GCF = 1.

See Also